How to find HCF by using prime Factorisation method????
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HCF by Prime Factorization
Find the prime factors of each of the given number.
Next, we identify the common prime factors of the given numbers.
We then multiply the common factors. The product of these common factors is the HCF of the given numbers.
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Answer:
Step I:
Find the prime factorization of each of the given numbers.
Step II:
The product of all common prime factors is the HCF of the given numbers.
Step-by-step explanation:
. Find highest common factor (HCF) of 14 and 8 by using prime factorization method.
Solution:
14 = 1 × 2 × 7.
8 = 1 × 2 × 2 × 2.
Common factor of 8 and 14 = 1 and 2.
H.C.F. is the product of lowest powers of factors common to all numbers.
Highest common factor of 8 and 14 = 2.
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