Greatest Common Factor of 9376/236, 7690/8609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9376/236, 7690/8609

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 9376/236,7690/8609

Given fractions are 9376/236,7690/8609

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 9376,7690

Greatest Common Factor of Numerators i.e. GCF of 9376,7690 is 2 .

LCM of Denominators means LCM of 236,8609 as per the given fractions.

LCM of 236,8609 is 2031724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9376,7690

GCF of Fractions 9376/236,7690/8609 is 2/2031724

2 9376, 7690
4688, 3845

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9376,7690 By Matching Biggest Common Factor Method

Greatest Common Factor of 9376,7690 By Matching Biggest Common Factor Method

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1,2,4,8,16,32,293,586,1172,2344,4688,9376

Factors of 7690

List of positive integer factors of 7690 that divides 7690 without a remainder.

1,2,5,10,769,1538,3845,7690

Greatest Common Factor

We found the factors 9376,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 9376,7690 is 2.

Lets's calculate LCM of 236,8609

Given numbers has no common factors except 1. So, there LCM is their product i.e 2031724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2031724

Therefore, the GCF of Fractions 9376/236,7690/8609 is 2/2031724

Least Common Multiple of 236,8609 with GCF Formula

Least Common Multiple of 236,8609 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 236,8609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,8609) = 1

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

GCF(236,8609) x common factors =1 x 1 = 1

LCM(236,8609) = ( 236 × 8609 ) / 1

LCM(236,8609) = 2031724 / 1

LCM(236,8609) = 2031724


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 9376/236, 7690/8609

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 9376/236, 7690/8609?

Answer: GCF of Numerators as per given numbers 9376/236, 7690/8609 is

GCF of Numerators i.e. for 9376,7690 is 2

LCM of denominators i.e. for 236,8609 is 2031724.

Thus, GCF of Fractions is 2/2031724.Finally, GCF of Fractions for 9376/236, 7690/8609 is 2/2031724.