Question

3. Find the HCF of the following numbers using the prime factorization method:
(a) 18. 118
(b) 27, 102
(c) 250, 450
(d) 144.372​

Answer 1

Step-by-step explanation:

To find out factors we need find the common prime factors

3.(i)

HCF of 18,118

18 = 3*3*2

118 = 2*59

HCF is 2

3.(ii)

27,102

27= 3*3*3

102=2*3*17

HCF is 3

3.(iii)

250,450

250=2*5*5*5

450=5*5*3*3*2

HCF is 5*5*2 = 50

3.(iv)

144,372

144=3*3*2*2*2*2

372= 2*2*3*31

HCF is 2*2*3=12