Greatest Common Factor of 4276/177, 7631/2874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4276/177, 7631/2874

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 4276/177,7631/2874

Given fractions are 4276/177,7631/2874

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 4276,7631

Greatest Common Factor of Numerators i.e. GCF of 4276,7631 is 1 .

LCM of Denominators means LCM of 177,2874 as per the given fractions.

LCM of 177,2874 is 169566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4276,7631

GCF of Fractions 4276/177,7631/2874 is 1/169566

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4276,7631 By Matching Biggest Common Factor Method

Greatest Common Factor of 4276,7631 By Matching Biggest Common Factor Method

Factors of 4276

List of positive integer factors of 4276 that divides 4276 without a remainder.

1,2,4,1069,2138,4276

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1,13,587,7631

Greatest Common Factor

We found the factors 4276,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 4276,7631 is 1.

Lets's calculate LCM of 177,2874

3 177, 2874
59, 958

∴ So the LCM of the given numbers is 3 x 59 x 958 = 169566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169566

Therefore, the GCF of Fractions 4276/177,7631/2874 is 1/169566

Least Common Multiple of 177,2874 with GCF Formula

Least Common Multiple of 177,2874 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 177,2874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,2874) = 3

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

GCF(177,2874) x common factors =3 x 1 = 3

LCM(177,2874) = ( 177 × 2874 ) / 3

LCM(177,2874) = 508698 / 3

LCM(177,2874) = 169566


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 4276/177, 7631/2874

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 4276/177, 7631/2874?

Answer: GCF of Numerators as per given numbers 4276/177, 7631/2874 is

GCF of Numerators i.e. for 4276,7631 is 1

LCM of denominators i.e. for 177,2874 is 169566.

Thus, GCF of Fractions is 1/169566.Finally, GCF of Fractions for 4276/177, 7631/2874 is 1/169566.