Question

HCF of All Indian currency notes

Answer 1

Indian currency notes includes 5,10, 20, 50, 100, 500, 2000 

The factors of 5 are: 1, 5

The factors of 10 are: 1, 2, 5, 10

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

The factors of 500 are: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 2000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000

Their HCF is: 5  

Answer 2

Solution :-

Indian currency notes = 5, 10, 20, 50, 100, 500 and 2000

H.C.F. of 5, 10, 20, 50, 100. 500 and 2000

Prime factorization of 5 = 5

Prime factorization of 10 = 2*5

Prime factorization of 20 = 2*2*5

Prime factorization of 50 = 2*5*5

Prime factorization of 100 = 2*2*5*5

Prime factorization of 500 = 2*2*5*5*5

Prime factorization of 2000 = 2*2*2*2*5*5*5

Out of these 5 is the only common factors.

Therefore, H.C.F. of 5, 10, 20, 50, 100, 500 and 2000 is 5

Answer.