Find the mean proportion between (6 + √8) and (3 –

Compute the difference between the LCM and HCF of the given numbers: 20, 50, and 100.

The square of sum of two numbers is 25,600 and the sum of squares of the same two numbers is 13,000. If their H.C.F. is 10, then find their L.C.M.

The least number which when divided by 6, 7, 10, 13, and 15 leaves the same remainder 5 in each case, is:

The LCM of two natural numbers is 25 times their HCF. If the product of given two numbers is 3600, then find the LCM of the numbers. 

The ratio of two numbers is 9:12 and their LCM is 324. The numbers are:

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 _______.

LCM of two numbers is 5 times their HCF. The product of the numbers is 4500. What will be the maximum possible difference between the numbers?

What will be the greatest common divisor (GCD) of (x² - 11x + 30) and (x² - 9x + 20).

The HCF of two numbers is 9 and their LCM is 360. If one number is 45, find the other number.