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.
HCF of 7 and 8 - How to Calculate, Methods, Solved Examples
Last Updated on Jun 11, 2024
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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:
- The smaller number from the set becomes the divisor and the larger number becomes the dividend.
- The smaller number then becomes the dividend and the remainder becomes the divisor.
- This process continues until the remainder is zero.
- 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
What is the HCF of 7 and 8?
The HCF of 7 and 8 is 1.
What is the second HCF of 7 and 8?
The HCF of 7 and 8 is 1, and it has no second HCF.
Is the HCF of 7 and 8 the same as the LCM of 7 and 8?
No. The Highest Common Factor of 7 and 8 is 1, and the Least Common Multiple of 7 and 8 is 56.
What are the common factors of 7 and 8?
1 is the only common factor of 7 and 8.
What are the three common multiples of 7 and 8?
56, 112 and 168 are the three common multiples of 7 and 8.
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