Greatest Common Factor of 9378/908, 3916/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9378/908, 3916/196

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 9378/908,3916/196

Given fractions are 9378/908,3916/196

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 9378,3916

Greatest Common Factor of Numerators i.e. GCF of 9378,3916 is 2 .

LCM of Denominators means LCM of 908,196 as per the given fractions.

LCM of 908,196 is 44492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9378,3916

GCF of Fractions 9378/908,3916/196 is 2/44492

2 9378, 3916
4689, 1958

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

Greatest Common Factor of 9378,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 9378,3916 By Matching Biggest Common Factor Method

Factors of 9378

List of positive integer factors of 9378 that divides 9378 without a remainder.

1,2,3,6,9,18,521,1042,1563,3126,4689,9378

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 9378,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 9378,3916 is 2.

Lets's calculate LCM of 908,196

2 908, 196
2 454, 98
227, 49

∴ So the LCM of the given numbers is 2 x 2 x 227 x 49 = 44492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44492

Therefore, the GCF of Fractions 9378/908,3916/196 is 2/44492

Least Common Multiple of 908,196 with GCF Formula

Least Common Multiple of 908,196 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 908,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,196) = 4

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

GCF(908,196) x common factors =4 x 1 = 4

LCM(908,196) = ( 908 × 196 ) / 4

LCM(908,196) = 177968 / 4

LCM(908,196) = 44492


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 9378/908, 3916/196

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 9378/908, 3916/196?

Answer: GCF of Numerators as per given numbers 9378/908, 3916/196 is

GCF of Numerators i.e. for 9378,3916 is 2

LCM of denominators i.e. for 908,196 is 44492.

Thus, GCF of Fractions is 2/44492.Finally, GCF of Fractions for 9378/908, 3916/196 is 2/44492.