Greatest Common Factor of 9630/183, 7377/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9630/183, 7377/962

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 9630/183,7377/962

Given fractions are 9630/183,7377/962

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 9630,7377

Greatest Common Factor of Numerators i.e. GCF of 9630,7377 is 3 .

LCM of Denominators means LCM of 183,962 as per the given fractions.

LCM of 183,962 is 176046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9630,7377

GCF of Fractions 9630/183,7377/962 is 3/176046

3 9630, 7377
3210, 2459

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9630,7377 By Matching Biggest Common Factor Method

Greatest Common Factor of 9630,7377 By Matching Biggest Common Factor Method

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630

Factors of 7377

List of positive integer factors of 7377 that divides 7377 without a remainder.

1,3,2459,7377

Greatest Common Factor

We found the factors 9630,7377 . The biggest common factor number is the GCF number.
So the greatest common factor 9630,7377 is 3.

Lets's calculate LCM of 183,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 176046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/176046

Therefore, the GCF of Fractions 9630/183,7377/962 is 3/176046

Least Common Multiple of 183,962 with GCF Formula

Least Common Multiple of 183,962 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 183,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,962) = 1

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

GCF(183,962) x common factors =1 x 1 = 1

LCM(183,962) = ( 183 × 962 ) / 1

LCM(183,962) = 176046 / 1

LCM(183,962) = 176046


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9630/183, 7377/962

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 9630/183, 7377/962?

Answer: GCF of Numerators as per given numbers 9630/183, 7377/962 is

GCF of Numerators i.e. for 9630,7377 is 3

LCM of denominators i.e. for 183,962 is 176046.

Thus, GCF of Fractions is 3/176046.Finally, GCF of Fractions for 9630/183, 7377/962 is 3/176046.