Question

4) Find the HCF/GCD of 30 and 75
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Answer 1

Given :- Find the HCF/GCD of 30 and 75 ?

Solution :-

checking prime factors of 30 and 75 first ,

→ 30 = 2 * 3 * 5

→ 75 = 3 * 5 * 5

since we know that, HCF is greatest number that divides all given numbers and as we can see that, only prime factor common in all three given numbers are 3 and 5 .

therefore, we can conclude that,

→ HCF = 3 * 5 = 15 (Ans.)

Hence, HCF of 30 and 75 is 15 .

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Answer 2

Given :

30 and 75

To find:

HCF/GCD

Solution:

Refer to an attachment for the HCF of 30 and 75.

HCF :-

• HCF is abbreviated as Highest Common Factor. It is also known as the Greatest Common Divisor(GCD).
• HCF is the highest number which divides each of the two or more numbers is called the Highest Common Factor.

Continue Division Method :

• We use the continued division method for finding the highest common factor of two or more numbers. 
• First, Divide the larger number by smaller numbers.
• Then the remainder becomes divisor and the divisor becomes dividend. This will continue until the remainder is 0.
• The divisor which does not leave a remainder is the H.C.F.