The HCF of 616 and 32 is 8. 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 616 and 32, 8 is the HCF/GCD/GCF. Even though there are other common factors, like 1, 2, and 4, 8 is greater than the other common factors. You can refer to the Highest Common Factor for more details.
What is the HCF of 616 and 32?
The Highest Common Factor, also known as the Greatest Common Factor, of 616 and 32 is 8.
How to Find HCF of 616 and 32?
There are three methods to find the HCF of 616 and 32:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 616 and 32 by Prime Factorisation Method
In Prime Factorisation, the numbers can be expressed as the product of prime numbers. Here, 616 and 32 can be expressed as;
616 = 2 × 2 × 2 × 7 × 11
32 = 2 × 2 × 2 × 2 × 2
Common Prime Factors are 2, 2 and 2. Therefore, HCF will be,
HCF (616, 32) = 2 × 2 × 2 = 8.
HCF of 616 and 32 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 616 and 32, the HCF by Long Division method is;
Hence, HCF (616, 32) = 8
HCF of 616 and 32 by Listing the 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 616 and 32
Factors of 616:
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308 and 616.
Factors of 32:
1, 2, 4, 8, 16, 32
Therefore, HCF (616, 32) = 8
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second Greatest number that divides 616 and 32?
The second Greatest number that divides 616 and 32 evenly is 4.
2. What is the GCF of 616 and 32?
The GCF of 616 and 32 is 8.
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