List of top Quantitative Aptitude Questions on LCM and HCF asked in CAT

The HCF of two numbers is 12, and their LCM is 144. If one number is 48, find the other.
What is the LCM of 12 and 18?
What is the HCF of 24 and 36?
Three wheels can complete 60, 36, and 24 revolutions per minute. There is a red spot on each wheel that touches the ground at time zero. After how much time will all these spots will simultaneously touch the ground again?
Find the HCF of (8125-1) and (274-1).
If the LCM of three natural numbers 2412, 1816 and a is 3618, then how many values of a are possible?