The HCF of 1651 and 2032 is 127. The HCF of 1651 and 2032 is the greatest integer that can divide both numbers evenly, and that number is 127. HCF stands for Highest Common Factor. It is also known as GCF, Greatest Common Factor or GCD, Greatest Common Divisor. For a given set of numbers, there would be multiple common factors, and the highest among the common factors is known as the HCF. For 1651 and 2032, the common factors are 1 and 127. Since 127 is the only common factor other than 1 and also greater than 1, HCF for 1651 and 2032 is 127. You can refer to GCF for more details.
What is the HCF of 1651 and 2032?
The Highest Common Factor, also known as the Greatest Common Factor, of 1651 and 2032 is 127.
How to Find HCF of 1651 and 2032?
There are three methods to find the HCF of 1651 and 2032:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1651 and 2032 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 1651 and 2032 can be expressed as:
1651 = 13 × 127
2032 = 2 × 2 × 2 × 2 × 127
The only Common Prime Factor is 127.
Therefore, HCF (1651, 2032) = 127.
HCF of 1651 and 2032 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.
HCF of 1651 and 2032 by long division method is:
Therefore, HCF (1651, 2032) = 127
HCF of 1651 and 2032 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 1651 and 2032:
Factors of 1651: 1, 13, 127, 1651
Factors of 2032: 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032.
Therefore, HCF (1651, 2032) = 127
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Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second Greatest number that divides 1651 and 2032 evenly.
The second Greatest number that divides both 1651 and 2032 evenly is nothing but the second greatest common factor, which is 1.
2. What is the GCF of 1651 and 16510?
The GCF of 1651 and 16510 is 1651.
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