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

pipeline-612933
rpf intermediate

The LCM of two numbers is 96 and the HCF of the same numbers is 16. What is the possible value of the sum of the two numbers?

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rpf 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?

pipeline-578091
rpf intermediate

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

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rpf intermediate

If LCM and HCF of two numbers are 84 and 6. Find the product of two numbers. 

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rpf intermediate

Two numbers are in the ratio 7 : 5 and their HCF is 26. Find the LCM.

pipeline-539666
rpf intermediate

The LCM of the two numbers is 12 times their HCF. If the product of two numbers is 8748, find the four times their HCF.

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rpf intermediate

If the LCM and HCF of two numbers are 72 and 12 respectively. Find the sum of the reciprocal of these numbers.

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rpf intermediate

Two numbers are in the ratio 7 : 5 and their HCF is 26. Find the LCM.

pipeline-703643
rpf intermediate

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

pipeline-654681
rpf 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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rpf intermediate

If the HCF of the two numbers is 4 and the product of these two numbers is 224. Find the LCM of numbers.

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rpf intermediate

The LCM of two numbers is 20 times their HCF and the sum of LCM and HCF is 1260. If one of the numbers is 240, find the other number.

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rpf intermediate

If the product of the two numbers is 480 and the H.C.F. of these numbers is 10 then what is the L.C.M. of the given numbers?

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rpf intermediate

Two numbers are in the ratio of 3 : 7. If HCF and LCM of the number are 13 and 273 respectively then find the numbers.

pipeline-496700
rpf intermediate

LCM of two numbers is 420. If their HCF is 70 and one number is 210. Find the other number.

pipeline-500653
rpf 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?

pipeline-481729
rpf intermediate

The HCF of two numbers, each having three digits, is 17 and their LCM is 714. Find the sum of the numbers.

pipeline-484308
rpf intermediate

If the LCM and HCF of two numbers are 40 & 3. What is the product of the two numbers?

pipeline-490311
rpf intermediate

The HCF and LCM of two numbers a and b are 37 and 222 respectively. What is the sum of all possible values of (a + b)? (Given a > b)

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rpf intermediate

If the product of the two numbers is 480 and the H.C.F. of these numbers is 10 then what is the L.C.M. of the given numbers?

pipeline-1318932
defence intermediate

The LCM of two numbers x and y is 204 times their HCF. If their HCF is 12 and the difference between the number is 60, then x + y =?
(CGL MAINS 2018)
 

pipeline-1305336
defence intermediate

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

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defence intermediate

13, a, b, and c are four distinct number,s and the HCF of each pair of numbers (13, a); (13, b); (13, c) is 13, where a, b, c are each less than 60 and a < b < c. What is the value of \(\frac{a+c}{b}\)?

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defence intermediate

The LCM of two numbers is 18 times their HCF. The sum of the LCM and HCF is 855. If one number is 81, then what is the other number?

pipeline-1310597
defence intermediate

The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.

pipeline-1305300
defence intermediate

How many pairs of positive integers p, q exist such that the HCF of p, q is 37 and the sum of p and q is 1961?

pipeline-1310566
defence intermediate

The H.C.F. of the two numbers is 19, and the other two divisors of their L.C.M. are 23 and 24. Find the smallest number among them.

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defence intermediate

How many pairs of natural numbers (x, y) exist such that x > y and the product of x, y, and HCF (x, y) = 2520?

pipeline-1290115
defence intermediate

The sum of two numbers is 720, and their HCF is 24. The highest possible LCM of the system is:

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defence intermediate

There are 2 numbers such that a>b, HCF (a, b) = h and LCM (a, b) = I. What is the LCM of a - b and b?

pipeline-1266130
defence 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.

pipeline-1251922
defence 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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defence 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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defence intermediate

The product of the LCM and HCF of two positive numbers is 72. The difference of these two numbers is 1. Find the numbers.

pipeline-1258217
ib 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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ib intermediate

LCM of two numbers is 1575, and their difference is 50. Then find the sum of these two numbers?

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ib 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.

pipeline-1263885
ib 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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ib 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 _______.

pipeline-1134491
delhi_police intermediate

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

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delhi_police intermediate

If the difference between two numbers is 42 and their LCM and HCF are 1729 and 7, respectively  what is the sum of those rwo numbers?

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delhi_police intermediate

The smallest number of two numbers (LCM) is 168 and their maximum consonant (HCF) is 12. If a number is 12, find the second number.

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delhi_police 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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delhi_police 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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delhi_police intermediate

If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.

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delhi_police intermediate

The L.C.M and H.C.F of the two numbers are 147 and 7 respectively. If one of the two numbers is 21 then, find the 1/7th of another number.

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delhi_police intermediate

Find the product of the numbers whose HCF and LCM are 8 and 40 respectively.

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delhi_police intermediate

The smallest number of two numbers (LCM) is 64 and their HCF is 20. Find the product of both numbers.

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delhi_police intermediate
Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
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delhi_police intermediate
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