HCF of 7 and 8 - How to Calculate, Methods, Solved Examples

Last Updated on Jun 11, 2024
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The Highest Common Factor (HCF) of 7 and 8 is 1. The HCF, also known as the Greatest Common Divisor (GCD) or the Greatest Common Factor (GCF), is the largest number that can divide two or more numbers without leaving a remainder. In the case of 7 and 8, the HCF is 1. For a more detailed explanation, you can visit the Highest Common Factor page.

How is the HCF of 7 and 8 Determined?

There are several ways to find the HCF of two or more numbers. The three most common methods are:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

Using the Prime Factorisation Method to Find the HCF of 7 and 8

The prime factorisation method involves breaking down each number into its prime factors. For 7 and 8, the prime factors are:

7 = 7

8 = 2 × 2 × 2

There are no common prime factors for 7 and 8, so the HCF is 1.

Using the Long Division Method to Find the HCF of 7 and 8

The long division method involves a few steps:

  1. The smaller number from the set becomes the divisor and the larger number becomes the dividend.
  2. The smaller number then becomes the dividend and the remainder becomes the divisor.
  3. This process continues until the remainder is zero.
  4. The last divisor is the HCF.

Thus, the HCF of 7 and 8 is 1.

Using the List of Common Factors to Find the HCF of 7 and 8

By listing the factors of each number, we can find the HCF. The factors of 7 and 8 are:

Factors of 7: 1 and 7

Factors of 8: 1, 2, 4, and 8

The only common factor of 7 and 8 is 1, which is the HCF.

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Frequently Asked Questions

The HCF of 7 and 8 is 1.

The HCF of 7 and 8 is 1, and it has no second HCF.

No. The Highest Common Factor of 7 and 8 is 1, and the Least Common Multiple of 7 and 8 is 56.

1 is the only common factor of 7 and 8.

56, 112 and 168 are the three common multiples of 7 and 8.

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