The HCF of 240 and 6552 is 24. HCF of 240 and 6552 is the greatest integer that can divide both the numbers evenly, and that number is 24. 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 them is known as the HCF. For 240 and 6552, the common factors are 1, 2, 3, 4, 6, 8, 12 and 24. Since 24 is the highest among the common factors, HCF would be 24 for 240 and 6552. You can refer to GCF for more details.
What is the HCF of 240 and 6552?
The Highest Common Factor, also known as the Greatest Common Factor, of 240 and 6552 is 24.
How to Find HCF of 240 and 6552?
There are three methods to find the HCF of 240 and 6552:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 240 and 6552 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 240 and 6552 can be expressed as:
240 = 2 × 2 × 2 × 2 × 3 × 5
6552 = 2 × 2 × 2 × 3 × 3 × 7 × 13
Common prime factors are 2, 2, 2 and 3.
Therefore, HCF (240, 6552) = 2 × 2 × 2 × 3 = 24.
HCF of 240 and 6552 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.
HCF of 240 and 6552 by long division method is:
Therefore, HCF (240, 6552) = 24
HCF of 240 and 6552 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 240 and 6552:
Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.
Factors of 6552:
1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276.
Therefore, HCF (240, 6552) = 24
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second greatest number that divides 240 and 6552 evenly.
The second greatest number that divides both 240 and 6552 evenly is nothing but the second greatest common factor, which is 12.
2. What is the GCF of 24 and 36?
The GCF of 24 and 36 is 12.
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