Cluster · HCF and LCM Calculations

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Clusters / #1215
tight score 0.00

HCF and LCM Problem Solving
Questions
248
Questions in this cluster
248 total
Question Category Subtype Difficulty

The product of 2 numbers is 6750 and their LCM is 450. If the difference between the numbers is equal to their HCF, then find the smaller number.

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quant intermediate

Divide the LCM of the 35 and 42 by the HCF of 32 and 40.

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quant intermediate

The highest common factor and the least common multiple of 432, 648, and 576 are _______________ and ______________, respectively.

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quant intermediate

The HCF and LCM of 2 numbers are 32 and 192. One of the numbers is 64. Find the absolute difference between the numbers.

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quant intermediate

Let the HCF of m and n be ‘a’ and let n = ab, LCM of m and n is given by:

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quant intermediate

The sum of the two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?

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quant intermediate

The LCM of two prime numbers x and y (x > y) is 533. The value of 4y - x is:

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quant intermediate

The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.

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quant intermediate

Three numbers are in the ratio of 2 : 3 : 5 and their LCM is 90. Find their HCF.

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quant intermediate

2 numbers differ by 9 and their product is 2430. Find the HCF of the numbers.

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quant intermediate

The LCM and HCF of two numbers are 210 and 5, respectively. If one of the numbers is 30, then what is the other number?

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reasoning intermediate

The ratio of four positive numbers is 5 : 8 : 12 : 18 and their LCM is 2880. The difference between the greater and the smaller number is:

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reasoning intermediate

If the LCM of two numbers is twice of HCF of the numbers and the product of two numbers is 288. Find the LCM.

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reasoning intermediate

Two numbers are in the ratio of 2 : 3. The product of their LCM and HCF is 7350. The difference between the two numbers is:

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reasoning intermediate

The sum and the difference of the LCM and HCF of two positive numbers are 148 and 140, respectively. If one number is 16, then the other number is

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reasoning intermediate

If the LCM and HCF of two numbers are 72 and 12 respectively. Which of the following can be the sum of the reciprocal of these numbers?

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reasoning intermediate

LCM of two prime numbers x and y (x > y) is 253. The difference between the numbers x and y is:

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reasoning intermediate

If the HCF of two numbers 112 and 420 is 28. Find their LCM.

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reasoning intermediate

If the H.C.F. of two numbers is 13 and the product of those two numbers is 3718 then, what is the L.C.M. of the two numbers?

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reasoning intermediate

Two natural numbers A and B have HCF of 13 and LCM of 455. What is the sum of the numbers? (Given A ≠ B ≠ 13)

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reasoning intermediate

The LCM and HCF of two numbers are 420 and 6. Sum of the numbers is 102, then what is the difference of the numbers?

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reasoning intermediate

The sum of the two numbers is 35. Their product is 150. Find the HCF of the sum of their reciprocals and the difference of the reciprocals.

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mp_police intermediate

The LCM of two numbers is 28 times their HCF, and the sum of their LCM and HCF is 493. The difference between the numbers is 51. If the sum of those two numbers is s, then find the sum of the digits of s.

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mp_police intermediate

The GCD of two numbers a and b is 4 and their LCM is 400. The number of pairs of a and b are  :

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mp_police intermediate

The product of two numbers is 3375, and their HCF is 15. Find their LCM.

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mp_police intermediate

The product of two numbers is 1472 and their HCF is 8. Find their LCM

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mp_police intermediate

The sum of two numbers is 15 and their difference is \(\frac{1}{5}\) of their sum. Find the LCM of the two numbers.

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mp_police intermediate

LCM and HCF of two numbers are 140 and 5 respectively. If one of the numbers is 35, then find the other number.

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mp_police intermediate

If the sum of two numbers is 126 and their HCF and LCM are 7 and 180, respectively, then the sum of the reciprocals of the two numbers is:

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mp_police intermediate

Two natural numbers A and B have HCF of 13 and LCM of 455. What is the sum of the numbers? (Given A ≠ B ≠ 13)

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bihar_police intermediate

The LCM of x and y is 441 and their HCF is 7. If x = 49 then find y.

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rajasthan intermediate

The product of the two numbers is 800 and their HCF is 20. Find the LCM of the numbers.

 

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rajasthan intermediate

If the product of two numbers is 1428 and the HCF of the two numbers is 2 then what is the LCM of the two numbers?

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up_police intermediate

The HCF and LCM of two numbers are 17 and 595 respectively. If one of the numbers lies between 75 and 125, then second number will be:

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up_police intermediate

LCM and HCF of the two numbers are 1920 and 16, respectively. If one of the numbers is 240, then find the other number.

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up_police intermediate

The product of two numbers is 3375, and their HCF is 15. Find their LCM.

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up_police intermediate

Find the ratio of LCM to HCF of the numbers 99 and 15.

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up_police intermediate

The HCF of two numbers is 6. Which of the following can never be their LCM?

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up_police intermediate

The HCF of the two numbers is 17 and their LCM is 913. If one number is 83, find the other number.

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up_police intermediate

The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.

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up_police intermediate

The HCF and LCM of two numbers are 9 and 126, respectively. Find the larger number, if the ratio between the numbers is 2 : 7.

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up_police intermediate

The product of two numbers is 726 and their HCF is 11, then their LCM is:

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up_police intermediate

The ratio of two numbers is 4 : 5, and their HCF is 3. What is their LCM?

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up_police intermediate

The sum of two numbers is 1215 and their HCF is 81. If the numbers lie between 500 and 700, then the sum of the reciprocal of the numbers is?

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up_police intermediate

The highest common factor and the least common multiple of 432, 648, and 576 are _______________ and ______________, respectively.

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up_police intermediate

The product of the two numbers is 800 and their HCF is 20. Find the LCM of the numbers.

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up_police intermediate

The sum of two numbers is 15 and their difference is \(\frac{1}{5}\) of their sum. Find the LCM of the two numbers.

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up_police intermediate

The LCM of the two numbers is 4104 and the HCF is 9. If one of the numbers is 171, find the other.

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up_police intermediate

Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:

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up_police intermediate

Mohan and Bhagwat decided to play a game. They choose a number in their mind and told the number to the judge after that judge announces the lcm of the number and the sum of the number as 240 and 128 respectively. What is the HCF of those two numbers?

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rpf intermediate
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