The HCF of 7 and 11 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 11, 1 is the HCF/GCD/GCF. The common factor for 7 and 11 is 1. Hence, HCF is 1. You can refer to the Highest Common Factor for more details.
What is the HCF of 7 and 11?
The Highest Common Factor, also known as the Greatest Common Factor of 7 and 11, is 1.
How to Find HCF of 7 and 11?
There are three methods to find the HCF of 7 and 11:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 7 and 11 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 11 can be expressed as:
7 = 1 × 7
11 = 1 × 11
Therefore, HCF (7, 11) = 1
HCF of 7 and 11 by Long Division Method
In the long division method, the following 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 11, the HCF by long division method is:
Therefore, HCF (7, 11) = 1
HCF of 7 and 11 by Listing Common Factors
By listing common 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 11:
Factors of 7: 1 and 7
Factors of 11: 1 and 11
Therefore, HCF (7, 11) = 1
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the greatest number that divides 7 and 11 equally.
Solution: The greatest number that divides 7 and 11 equally is nothing but GCF/HCF, which is 1 for 7 and 11.
2. What is the GCF of 8 and 16?
Solution: The GCF of 8 and 16 is 8.
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