The HCF of 336, 240 and 96 is 48. HCF is the greatest integer that can divide 336, 240 and 96 evenly. HCF stands for Highest Common Factor. As the name suggests, for a given set of numbers, there would be common factors, and the highest among the common factors is known as the HCF. In the given set of numbers 336, 240 and 96, the common factors are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. Since 48 is the highest among the given factors, HCF would be 48 for 336, 240 and 96. HCF is also termed GCF, which is the Greatest Common Factor. Learn more on GCF.
What is the HCF of 336, 240 and 96?
The Highest Common Factor, also known as the Greatest Common Factor of 336, 240 and 96, is 48.
How to Find HCF of 336, 240 and 96?
There are three methods to find the HCF of 336, 240 and 96:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 336, 240 and 96 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 336, 240 and 96 can be expressed as:
336 = 2 × 2 × 2 × 2 × 3 × 7
240 = 2 × 2 × 2 × 2 × 3 × 5
96 = 2 × 2 × 2 × 2 × 2 × 3
The common prime factors are 2 × 2 × 2 × 2 × 3. Therefore, HCF will be:
HCF (336, 240 and 96) = 2 × 2 × 2 × 2 × 3 = 48
HCF of 336, 240 and 96 by Long Division Method
In the long division method, the following steps are followed.
- Choose two numbers from the given set of numbers (usually, the first two numbers are selected).
- From the chosen 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 and the left-out number are taken for a new long division.
- HCF becomes the divisor, and the other number becomes the dividend.
- Long division is continued until the remainder becomes zero.
- The last divisor is the HCF of all three numbers.
The HCF of 336, 240 and 96 by long division method is:
Stage 1: Choosing 336 and 240 for 1st long division.
Therefore, the HCF of 336 and 240 is 48.
Stage 2: Choosing HCF and next number for long division.
.i.e the HCF from the previous long division = 48 and left out number is 96. Therefore, HCF is 48.
HCF of (336, 240 and 96) = 48
HCF of 336, 240 and 96 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 336, 240 and 96:
Factors of 336:
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, and 336
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 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
HCF (336, 240 and 96) = 48
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Video Lesson on Properties of HCF and LCM
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Solved Examples
1. Find the greatest number that divides 336, 240 and 96 evenly.
The greatest number that divides 336, 240 and 96 evenly is nothing but the GCF, which is 48.
2. What is the second HCF for 336, 240 and 96?
The second HCF for 336, 240 and 96 is 24.
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