The HCF of 1517 and 902 is 41. The HCF of 1517 and 902 is the greatest integer that can divide both numbers evenly, which is 41. 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 1517 and 902, the common factors are 1 and 41. Since 41 is greater than 1, HCF for 1517 and 902 is 41. You can refer to HCF and LCM to understand better.
What is the HCF of 1517 and 902?
The Highest Common Factor, also known as the Greatest Common Factor, of 1517 and 902 is 41.
How to Find HCF of 1517 and 902?
There are three methods to find the HCF of 1517 and 902:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1517 and 902 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 1517 and 902 can be expressed as:
1517 = 37 x 41
902 = 2 × 11 × 41
The only Common Prime Factor is 41.
Therefore, HCF (1517, 902) = 41.
HCF of 1517 and 902 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 1517 and 902 by long division method is:
Hence, HCF (1517, 902) = 41
HCF of 1517 and 902 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 1517 and 902:
Factors of 1517: 1, 37, 41, 1517
Factors of 902: 1, 2, 11, 22, 41, 82, 451, 902
Therefore, HCF (1517, 902) = 41
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second greatest number that divides 1517 and 902 evenly.
The second greatest number that divides both 1517 and 902 evenly is nothing but the second greatest common factor, which is 1.
2. What is the GCF of 902 and 9020?
GCF of 902 and 9020 is 902.
Comments