Greatest Common Factor of 636/60, 9353/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 636/60, 9353/162

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 636/60,9353/162

Given fractions are 636/60,9353/162

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 636,9353

Greatest Common Factor of Numerators i.e. GCF of 636,9353 is 1 .

LCM of Denominators means LCM of 60,162 as per the given fractions.

LCM of 60,162 is 1620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,9353

GCF of Fractions 636/60,9353/162 is 1/1620

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 636,9353 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,9353 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 9353

List of positive integer factors of 9353 that divides 9353 without a remainder.

1,47,199,9353

Greatest Common Factor

We found the factors 636,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 636,9353 is 1.


Lets's calculate LCM of 60,162

2 60, 162
3 30, 81
10, 27

∴ So the LCM of the given numbers is 2 x 3 x 10 x 27 = 1620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1620

Therefore, the GCF of Fractions 636/60,9353/162 is 1/1620

Least Common Multiple of 60,162 with GCF Formula

Least Common Multiple of 60,162 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,162) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(60,162) x common factors =6 x 1 = 6

LCM(60,162) = ( 60 × 162 ) / 6

LCM(60,162) = 9720 / 6

LCM(60,162) = 1620


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 636/60, 9353/162

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 636/60, 9353/162?

Answer: GCF of Numerators as per given numbers 636/60, 9353/162 is

GCF of Numerators i.e. for 636,9353 is 1

LCM of denominators i.e. for 60,162 is 1620.

Thus, GCF of Fractions is 1/1620.Finally, GCF of Fractions for 636/60, 9353/162 is 1/1620.