Question

HCF of 408,680, and 816

Answer 1

Answer:

Answer: GCF of 8160 and 8165 is 5. 2. What are the Factors of 8160? Answer: Factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160.

Answer 2

The HCF of 408, 680, and 816 is 136.

Given: The numbers 408, 680, and 816.

To Find: The HCF of the numbers 408, 680, and 816.

Solution:

• HCF stands for Highest Common Factor which means the greatest number which divides each of the two or more numbers.

• HCF can be found by the long division method or the prime factorization method.

• In this numerical, we shall use the prime factorization method, where we shall list down all the prime factors of the numbers whose combined HCF is to be found, The common prime factor along with their lowest power is the required HCF.

Coming to the numerical, we are given;

The numbers 408, 680, and 816.

We shall list the prime factors of each of the numbers.

408 = 2 × 2 × 2 × 3 × 17

680 = 2 × 2 × 2 × 5 × 17

816 = 2 × 2 × 2 × 2 × 3 × 17

∴ HCF ( 408, 680, 816 ) = 2 × 2 × 2 × 17

                                       = 136

Hence, the HCF of 408, 680, and 816 is 136.

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