Find the HCF by the prime factorisation method:
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We already know that a number which exactly divides two or more given numbers is the common factor of the given numbers. In factorization, we intend to find the factors of a given number. Now what to do if we had to find the common factor between two or more numbers. This is where the concept of HCF comes into play.
The HCF or Highest Common Factor of two or more numbers is the greatest common factor of the given set of numbers. In other words, HCF is the greatest number which exactly divides two or more given numbers.
HCF and LCMSource: pixabay
HCF by Listing Method
The listing method involves the process of listing the factors of the given numbers. For example, find the HCF of 20 and 35.
All possible factors of 20 are 1,2,4,5,10 and 20
All possible factors of 60 are 1,3,4,5,6,10,12,15,20,30,60
The common factors of the given numbers are : 1,2,4,5,10,20. The greatest among all other numbers is 20, so it shall be the HCF of both the numbers.
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How to find the HCF of the numbers?
Step 1: Write down each number as the product of its prime factors.
Step 2: Now, list down the common factors from the given numbers.
Step 3: The largest number, which is found in the common factors is the HCF of the given numbers.
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