The product of two numbers is 8427. If the HCF of these numbers is 53, then find the greater number.

Correct option is A

Given:

Product of two numbers = 8427

Their HCF of the numbers is 53

Formula Used:

Product of two numbers = HCF $$\times$$​ LCM

Solution:

Let the number be 53a and 53b.

The product of the numbers is 8427

53a $$\times$$​ 53b = 8427

2809ab = 8427

ab = $$\frac{8427}{2809}$$​ = 3

Co-prime exist between number 3 is (1,3)

Hence numbers are 53a = $$53 \times 1 = 53$$​ , and  53b = $$53 \times 3 = 159$$​

Thus, Greater number is 159