Greatest Common Factor of 9356/834, 7276/7592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9356/834, 7276/7592

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 9356/834,7276/7592

Given fractions are 9356/834,7276/7592

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 9356,7276

Greatest Common Factor of Numerators i.e. GCF of 9356,7276 is 4 .

LCM of Denominators means LCM of 834,7592 as per the given fractions.

LCM of 834,7592 is 3165864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9356,7276

GCF of Fractions 9356/834,7276/7592 is 4/3165864

2 9356, 7276
2 4678, 3638
2339, 1819

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9356,7276 By Matching Biggest Common Factor Method

Greatest Common Factor of 9356,7276 By Matching Biggest Common Factor Method

Factors of 9356

List of positive integer factors of 9356 that divides 9356 without a remainder.

1,2,4,2339,4678,9356

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1,2,4,17,34,68,107,214,428,1819,3638,7276

Greatest Common Factor

We found the factors 9356,7276 . The biggest common factor number is the GCF number.
So the greatest common factor 9356,7276 is 4.

Lets's calculate LCM of 834,7592

2 834, 7592
417, 3796

∴ So the LCM of the given numbers is 2 x 417 x 3796 = 3165864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3165864

Therefore, the GCF of Fractions 9356/834,7276/7592 is 4/3165864

Least Common Multiple of 834,7592 with GCF Formula

Least Common Multiple of 834,7592 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 834,7592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,7592) = 2

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

GCF(834,7592) x common factors =2 x 1 = 2

LCM(834,7592) = ( 834 × 7592 ) / 2

LCM(834,7592) = 6331728 / 2

LCM(834,7592) = 3165864


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 9356/834, 7276/7592

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 9356/834, 7276/7592?

Answer: GCF of Numerators as per given numbers 9356/834, 7276/7592 is

GCF of Numerators i.e. for 9356,7276 is 4

LCM of denominators i.e. for 834,7592 is 3165864.

Thus, GCF of Fractions is 4/3165864.Finally, GCF of Fractions for 9356/834, 7276/7592 is 4/3165864.