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LCM & HCF || 06.09.2021

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Question 1

The HCF of (x6−1) and (x4+2x3−2x−1) is:

Question 2

LCM and HCF of two algebraic expressions are (x3 + 3x2 - 25x - 75) and (x + 3) respectively. One of the algebraic expressions is  (x2 + 8x + 15) find the other:

Question 3

Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

Question 4

What will be the ratio of Highest common Factor and Least Common Multiple of two numbers 16 and 20?

Question 5

If the Least common Multiple of 56, 57 and 58 is K, then what will be the Least Common Multiple of 56, 57, 58 and 59?

Question 6

The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is:

Question 7

Find the least perfect square number, which when divided by 4, 5 and 6 gives remainder 0 in each case.

Question 8

The HCF and LCM of two numbers are 7 and 105 respectively. If one of the number lies between 30 and 45 then other number is.

Question 9

In finding the HCF of two numbers by division method, the quotients are 1, 8 and 2 respectively, and the last divisor is 105. What is the sum of the numbers?

Question 10

Find the greatest number such that when 86,261,521 are divided by it, it leaves the same remainder.
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