(a) Find the GCD of 24 and 36.
(b) Find the GCD of 12 ,18 and 24.

Explanation

(a) Resolving the given numebrs into prime factors, we have
`36 =②xx②xx③xx3and `
`24 =②xx②xx2xx③`
The common factors to both the numbers are circled.
Now, HCF`=2xx2xx3=12`
`therefore HCF (24,36)=12`.
(b) Resolving the given numbers into product of prime factros,
`12= ②xx2xx③ `
`18= ②xx③xx3`
`24= ②xx2xx2xx③`
Now,
HCF=product of common factors of `12,18 and 24`
`=2xx=6`
`therefore HCF =6`.