HCF of 616and 32 full explain with methods
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Answer:
HCF of 616 and 32 is 8.
HCF of 616 and 32
The HCF of two non-zero integers, x(616) and y(32), is the highest positive integer m(8) that divides both x(616) and y(32) without any remainder.
Step-by-step explanation:
Methods to Find HCF of 616 and 32
The methods to find the HCF of 616 and 32 are explained below.
Using Euclid's Algorithm
Listing Common Factors
Prime Factorization Method
HCF of 616 and 32 by Euclidean Algorithm
As per the Euclidean Algorithm, HCF(X, Y) = HCF(Y, X mod Y)
where X > Y and mod is the modulo operator.
Here X = 616 and Y = 32
HCF(616, 32) = HCF(32, 616 mod 32) = HCF(32, 8)
HCF(32, 8) = HCF(8, 32 mod 8) = HCF(8, 0)
HCF(8, 0) = 8 (∵ HCF(X, 0) = |X|, where X ≠ 0)
Therefore, the value of HCF of 616 and 32 is 8.
HCF of 616 and 32 by Listing Common Factors
HCF of 616 and 32 by Listing Common Factors
Factors of 616: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Factors of 32: 1, 2, 4, 8, 16, 32
There are 4 common factors of 616 and 32, that are 8, 1, 2, and 4. Therefore, the highest common factor of 616 and 32 is 8.
HCF of 616 and 32 by Prime Factorization
HCF of 616 and 32 by Prime Factorization
Prime factorization of 616 and 32 is (2 × 2 × 2 × 7 × 11) and (2 × 2 × 2 × 2 × 2) respectively. As visible, 616 and 32 have common prime factors. Hence, the HCF of 616 and 32 is 2 × 2 × 2 = 8.
☛ Also Check:
HCF of 513, 1134 and 1215 = 27
HCF of 34 and 102 = 34
HCF of 17 and 19 = 1
HCF of 17, 23 and 29 = 1
HCF of 403, 434 and 465 = 31
HCF of 7 and 8 = 1
HCF of 170 and 238 = 34
Answered by
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Step-by-step explanation:
HCF of 616 is 2 | 616
2 | 308
2 | 154
11 77
7 | 7
| 1
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