If you want to find the highest common factor (HCF) of two sets of numbers, you can do so by using the prime factorization method. This procedure can be used to find the HCF of any number, no matter how big or small. Let’s take a look at an example to see how it works.
What is HCF?
HCF is a mathematical term that refers to the highest common factor of two or more numbers. This concept can be used in many different situations, and it is helpful for solving various math problems.
For example, if you are trying to find the HCF of three numbers, you would first need to find the HCFs of each number separately. After that, you would use the HCF formula to determine which number divides all three equally.
HCF by Prime Factorization
To find the highest common factor (HCF) in two sets of data, you can use the prime factorization method. To do this, first divide each set of data into its own small groups and then use the prime factors to identify which items appear more than once.
Find the HCF of 36, 27 and 80.
Write each number as a product of its prime factors.
22 x 32 = 36
33 = 27
24 x 5 = 80
The product of all common prime factors is the HCF
The common prime factors in this example are none.
So, HCF is 1.
Conclusion
The method of finding the HCF is explained in detail above. But if you are still confused, there is an easier way to do this. Instead of calculating the highest common factor (HCF), divide one whole number by another and get its product first. Then find their difference and multiply it with your original number to get the final result. This not just super simple but also very accurate!
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