Greatest Common Factor of 9178/348, 3780/7431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9178/348, 3780/7431

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 9178/348,3780/7431

Given fractions are 9178/348,3780/7431

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 9178,3780

Greatest Common Factor of Numerators i.e. GCF of 9178,3780 is 2 .

LCM of Denominators means LCM of 348,7431 as per the given fractions.

LCM of 348,7431 is 861996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9178,3780

GCF of Fractions 9178/348,3780/7431 is 2/861996

2 9178, 3780
4589, 1890

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

Greatest Common Factor of 9178,3780 By Matching Biggest Common Factor Method

Greatest Common Factor of 9178,3780 By Matching Biggest Common Factor Method

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1,2,13,26,353,706,4589,9178

Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780

Greatest Common Factor

We found the factors 9178,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 9178,3780 is 2.

Lets's calculate LCM of 348,7431

3 348, 7431
116, 2477

∴ So the LCM of the given numbers is 3 x 116 x 2477 = 861996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/861996

Therefore, the GCF of Fractions 9178/348,3780/7431 is 2/861996

Least Common Multiple of 348,7431 with GCF Formula

Least Common Multiple of 348,7431 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 348,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,7431) = 3

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

GCF(348,7431) x common factors =3 x 1 = 3

LCM(348,7431) = ( 348 × 7431 ) / 3

LCM(348,7431) = 2585988 / 3

LCM(348,7431) = 861996


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 9178/348, 3780/7431

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 9178/348, 3780/7431?

Answer: GCF of Numerators as per given numbers 9178/348, 3780/7431 is

GCF of Numerators i.e. for 9178,3780 is 2

LCM of denominators i.e. for 348,7431 is 861996.

Thus, GCF of Fractions is 2/861996.Finally, GCF of Fractions for 9178/348, 3780/7431 is 2/861996.