Question

Arun had 49 paintings of one artist and 35 of another. He wanted to cover each wall with the same number of paintings. What is the maximum number of paintings a wall can have?

Answer 1

Arun wants to cover each wall with the same number of paintings.
The number of paintings put up must be a common factor of 49 and 35.

Since in the question it is asked for the maximum number of paintings a wall can have, we need to look for the largest common factor of 49 and 35 = HCF(49 , 35)

Factors of 49 = 1, 7, 49
Factors of 35 = 1, 5, 7, 35
Common factors = 1, 7
HCF = 7

Thus, the maximum number of paintings a wall can have is 7.