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Problems On H.c.f And L.c.m

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1.

The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above conditions is = ?

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2.

The HCF and LCM of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is = ?

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3.

A number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is = ?

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4.

The HCF and LCM of two 2-digit number are 16 and 480 respectively. The numbers are ?

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5.

The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8 is = ?

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6.

The LCM and ratio of four numbers are 630 and 2 : 3 : 5 : 7 respectively. The difference between the greatest and least numbers is = ?

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7.

If HCF of p and q is x and q = xy, then the LCM of p and q is = ?

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8.

The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is?

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9.

The LCM of two numbers is 20 times their HCF. The sum of HCF ans LCM is 2520. If one of the number 480, the other number is = ?

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10.

What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder ?