Question 1
Find the HCF of 60, 90 and 150.
Show solution
60 = 2²·3·5, 90 = 2·3²·5, 150 = 2·3·5² HCF = 2·3·5 = 30
Question 2
Find the LCM of 8, 12 and 16.
Show solution
8 = 2³, 12 = 2²·3, 16 = 2⁴ → LCM = 2⁴·3 = 48
Question 3
The HCF of two numbers is 13 and their LCM is 182. If one number is 26, find the other.
Show solution
(13 × 182)/26 = 91