Mathematics
Grade10
Easy

Question

Find the HCF of 20 and 56.

  1. 4    
  2. 2    
  3. 20    
  4. 14    

Hint:

HCF of two numbers is defined as the Highest Common Factor of the two numbers. In this question, we need to find the factors of 20 and 56 and from then we have to find the largest factor which is common to both the numbers.

The correct answer is: 4


    Step by step solution:
    20 = 1 x 20 = 2 x 10 = 4 x 5
    The factors of 20 are 1, 2, 4, 5, 10, 20
    56 = 1 x 56 = 2 x 28 = 4 x 14 = 7 x 8
    The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56
    The largest factor common to both 20 and 56 is 4
    So, HCF of 20 and 56 is 4.
    Hence, option(b) is the correct option.

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