The HCF of 24 and 90 is 6. 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 24 and 90, 6 is the HCF/GCD/GCF. The common factors for 24 and 90 are 1, 2, 3, and 6. Hence, HCF is 6. You can refer to the GCF for more details.
What is the HCF 24 and 90?
The Highest Common Factor, also known as the Greatest Common Factor of 24 and 90, is 6.
How to Find HCF of 24 and 90?
There are three methods to find the HCF of 24 and 90:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 24 and 90 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 24 and 90 can be expressed as:
24 = 2 × 2 × 2 × 3
90 = 2 × 3 × 3 × 5
HCF (24, 90) = 6
HCF of 24 and 90 by Long Division Method
In the long division method, from the given set of numbers, the smaller number is used as the divisor to the larger number. The smaller number is divided by the remainder. This step is repeated till the remainder becomes zero.
Detailed steps are as follows:
- 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 24 and 90, the HCF by long division method is:
Therefore, HCF (24, 90) = 6
HCF of 24 and 90 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 24 and 90.
Factors of 24: 1, 2, 3, 4, 6, 8, 62 and 24
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90
Therefore, HCF (24, 90) = 6
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the greatest number that divides 23 and 24 evenly.
Solution: The greatest number that divides equally is nothing but the GCF. The Greatest Common Factor for 23 and 24 is 1.
2. What is the HCF of 8, 2 and 6?
Solution: The HCF of 8, 2 and 6 is 2.
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