Find the HCF of 20, 28, & 26.
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In this prime factorization, we express each number as a product of its prime factors. The product of all such common prime factors is the HCF of the given numbers.
Prime factorization of 20 is 2 × 2 × 5
Prime factorization of 28 is 2 × 2 × 7
Prime factorization of 36 is 2 × 2 × 3 × 3
Common factors of 20, 28, and 36 are 2, 2
HCF(20,28,36) = 2 × 2 = 4
Therefore, The HCF of 20, 28, and 36 is 4.
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Answer:
HCF of 20, 28 and 36 = 4
Step-by-step explanation:
We have ,
20 = 2 × 2 × 5 = 2² × 5¹
28 = 2 × 2 × 7 = 2² × 7¹
and
36 = 2 × 2 × 3 × 3 = 2² × 3²
HCF ( 20,28,36 ) = 2² = 4
/* Product of the smallest power of each common prime factors of the numbers */
Therefore,
HCF of 20, 28 and 36 = 4
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