LCM and HCF Questions Answers

Which one of the following numbers will divide 129 and 281 leaving 3 and 5 remainders respectively?

Find the LCM of $frac{1}{2}, frac{3}{5}, frac{4}{7} text{ and } frac{5}{21}$

The product of two numbers is $396 times 576$ and the L.C.M. is 6336. Their G.C.M. is

The greatest number that will divide 2930 and 3250, and will leave as remainder 7 and 11 respectively is:

HCF of two quadratic expressions is $(x + 2)$ and their LCM is $x^3 + 2x^2 - x - 2$. The two expressions are:

Find the greatest number which will divide 400, 435 and 541 leaving 9,10 and 14 as remainders respectively.

For any integers 'a' and 'b' with HCF (a, b) = 1, what is HCF (a + b, a − b) equal to?

What is the greatest possible size of a measuring vessel that can be used to measure the petrol in any of the three drums (1653 liters, 2261 liters, and 2527 liters), ensuring that the vessel is completely filled each time ?

If $x = 2^3 times 3^2 times 5^4$  and $y = 2^2 times 3^2 times 5 times 7$ , then HCF of $x$ and $y$ is

LCM of $2^3 times 3 times 5$ and $2^4 times 5 times 7$ is

Two numbers have a ratio of 13:15, and their least common multiple (LCM) is 39,780. What are the two numbers?

If the HCF of three numbers 144, $x$ and 192 is 12, then the number $x$ cannot be

Find the sum of all numbers between 300 and 400 that leave a remainder of 4 when divided by 6, 9, and 12.

Find the smallest positive integer that, when divided by 4, 5, 8, and 9, leaves remainders of 3, 4, 7, and 8, respectively.

What is the HCF of $a^2b^4 + 2a^2b^2$ and $(ab)^7 - 4a^2b^9$ ?

What is the sum of the digits of the smallest number that leaves a remainder of 33 when divided by 52, a remainder of 59 when divided by 78, and a remainder of 98 when divided by 117 ?

For any integer $n$, what is the HCF of integers $m = 2n + 1$ and $k = 9n + 4$ ?