Question

If a=2n+13 and b=n+7 where not is a natural number then find the hcf of a and b

Answer 1

Answer:

Step-by-step explanation:

A=2n+13

B=n+7

on using Euclid's division algorithm,

2n+13= (n+7)(1)+ n+6

as r≠0 applying  Euclid's division algorithm,

n+7 = (n+6)(1)+1

as r≠0 applying  Euclid's division algorithm,

n+6 = ( 1 )(n+6)+0

as r=0 ,

∴HCF of A and B is 1.