Question

Anmol had 26 pens and 39 pencils. He wants to distribute an equal number of stationary of either kind to children at a charity. What is the maximum number of stationery items a kid can receive ?

Answer 1

Anmol wants to distribute an equal number of stationery items to children at a charity.
⇒ The number of stationery items to be distributed must be a common factor of 26 and 39.

Since the question is asking for the maximum number a person can receive, we are looking at the largest common factor of 26 and 65 = HCF(26 , 39)

Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Common factors = 1, 13
HCF = 13

Thus, the maximum number of stationary items a person can receive is 13.