The HCF of 870 and 225 is 15. The HCF of 870 and 225 is the greatest integer that can divide both numbers evenly, which is 15. 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 870 and 225, the common factors are 1, 3, 5 and 15. Since 15 is the highest among the given factors, HCF would be 15 for 870 and 225. You can refer to GCF for more details.
What is the HCF of 870 and 225?
The Highest Common Factor, also known as the Greatest Common Factor, of 870 and 225 is 15.
How to Find HCF of 870 and 225?
There are three methods to find the HCF of 870 and 225:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 870 and 225 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 870 and 225 can be expressed as:
870 = 2 × 3 × 5 × 29
225 = 3 × 5 × 17
Common prime factors of 870 and 225 are 3 and 5.
Therefore, HCF (870, 225) = 3 × 5 = 15.
HCF of 870 and 225 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.
The HCF of 870 and 225 by long division method is:
Therefore, HCF (870, 225) = 15
HCF of 870 and 225 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 870 and 225:
Factors of 870:
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435 and 870.
Factors of 225:
1, 3, 5, 9, 15, 25, 45, 75, and 225.
Therefore, HCF (870, 225) = 15
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second greatest number that divides 870 and 225 evenly.
Solution: The second greatest number that divides both 870 and 225 evenly is nothing but the second greatest common factor, which is 5.
2. What is the GCF of 15 and 225?
Solution: The GCF of 15 and 225 is 15.
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