12. Find HCF of following numbers using Division method.
(a) 12, 18, 64
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Explanation:
The HCF of 12,18,64 is 2
Given:
Numbers are 12,18,64
To find:
The HCF of the number
Step1: Find the Prime Factorization of 12
12÷2 = 6
6÷2 = 3
3÷3 =1
The prime factorization of 12 is 2×2×3
Step2: Find the Prime Factorization of 18
18÷2 = 9
9÷3 = 3
3÷3 =1
The prime factorization of 18 is 2×3×3
Step3: Find the Prime Factorization of 64
64÷2 = 32
32÷2 = 16
16÷2 =8
8÷2 =4
4÷2 =2
2÷2 =1
The prime factorization of 64 is 2×2×2×2×2×2
Step4: Find the Prime Factorization of 12,18,64
The prime factorization of 12 is 2×2×3
The prime factorization of 18 is 2×3×3
The prime factorization of 64 is 2×2×2×2×2×2
The HCF of 12,18,64 is 2
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