Question

Using prime factorization method , find the HCF

b)18 and 15
c)16 ,32 and 48
e)27, 63 and 54

Answer 1

see explanation

Explanation:

(b)

18 = 2 × 3 × 3 = 2 × 3²

15 = 3 × 5

The common prime factor = 3

HCF = 3

(c)

16 = 2 × 2 × 2 × 2 =
`2^(4)`

32 = 2 × 2 × 2 × 2 × 2 =
`2^(5)`

48 = 2 × 2 × 2 × 2 × 3 =
`2^(4)` × 3

The common prime factor =
`2^(4)`

HCF =
`2^(4)` = 16

(e)

27 = 3 × 3 × 3 = 3³

63 = 3 × 3 × 7 = 3² × 7

54 = 2 × 3 × 3 × 3 = 2 × 3³

The common prime factor = 3²

HCF = 3² = 9