Question

Which of the following explains the relation between any two given numbers and their HCF and LCM?

• A. Product of the two numbers = Product of their HCF and LCM
• B. First number $\times$ HCF = Second number $\times$ LCM
• C. Sum of the two numbers = Sum of their HCF and LCM
• D. Difference between the two numbers = Difference between their HCF and LCM

Answer 1

The correct option is A Product of the two numbers = Product of their HCF and LCM

The relation between HCF and LCM of any two numbers is given as

product of the two numbers = $HCF\times LCM$

Let two numbers be 8 and 12.
HCF = 4; LCM = 24

Product of the numbers 8 and 12
$=8\times 12=96$
Product of their HCF and LCM
$=4\times 24=96$