The HCF of 7 and 9 is 1. HCF stands for highest common factor, and as the name suggests, the number that is highest among the common factors is known as HCF. It can also be referred to as GCD, Greatest Common Divisor or GCF, Greatest Common Factor. For the given set of numbers 7 and 9, 1 is the HCF/GCD/GCF. Since 1 is the only common factor for 7 and 9, the HCF is 1. You can refer to the Highest Common Factor for more details.
What is the HCF of 7 and 9?
The Highest Common Factor, also known as the Greatest Common Factor, of 7 and 9 is 1.
How to Find HCF of 7 and 9?
There are three methods to find the HCF of 7 and 9:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 7 and 9 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 9 can be expressed as:
7 = 1 × 7
9 = 3 × 3
There are no common prime factors for 7 and 9.
Hence, HCF (7, 9) = 1.
HCF of 7 and 9 by Long Division Method
In the long division method, the below steps are followed.
- From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
- In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor.
- The above step is followed until the remainder is zero.
- The last divisor would be the HCF.
For 7 and 9, the HCF by long division method is:
Therefore, HCF (7, 9) = 1
HCF of 7 and 9 by Listing Common Factors
By listing all the factors of given numbers, we can identify the Highest/Greatest/Biggest common factor, which is the HCF. Below is the list of factors for 7 and 9
Factors of 7: 1 and 7
Factors of 9: 1, 3 and 9.
Therefore, HCF (7, 9) = 1
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the greatest number that divides 7 and 9 equally?
The greatest number that divides 7 and 9 equally is nothing but GCF/HCF, which is 1 for 7 and 9.
2. What is the GCF of 11 and 88?
The GCF of 11 and 88 is 11.
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