Greatest Common Factor of 7694/179, 4522/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7694/179, 4522/771

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 7694/179,4522/771

Given fractions are 7694/179,4522/771

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 7694,4522

Greatest Common Factor of Numerators i.e. GCF of 7694,4522 is 2 .

LCM of Denominators means LCM of 179,771 as per the given fractions.

LCM of 179,771 is 138009 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7694,4522

GCF of Fractions 7694/179,4522/771 is 2/138009

2 7694, 4522
3847, 2261

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

Greatest Common Factor of 7694,4522 By Matching Biggest Common Factor Method

Greatest Common Factor of 7694,4522 By Matching Biggest Common Factor Method

Factors of 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1,2,3847,7694

Factors of 4522

List of positive integer factors of 4522 that divides 4522 without a remainder.

1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522

Greatest Common Factor

We found the factors 7694,4522 . The biggest common factor number is the GCF number.
So the greatest common factor 7694,4522 is 2.

Lets's calculate LCM of 179,771

Given numbers has no common factors except 1. So, there LCM is their product i.e 138009

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138009

Therefore, the GCF of Fractions 7694/179,4522/771 is 2/138009

Least Common Multiple of 179,771 with GCF Formula

Least Common Multiple of 179,771 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 179,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,771) = 1

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

GCF(179,771) x common factors =1 x 1 = 1

LCM(179,771) = ( 179 × 771 ) / 1

LCM(179,771) = 138009 / 1

LCM(179,771) = 138009


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 7694/179, 4522/771

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 7694/179, 4522/771?

Answer: GCF of Numerators as per given numbers 7694/179, 4522/771 is

GCF of Numerators i.e. for 7694,4522 is 2

LCM of denominators i.e. for 179,771 is 138009.

Thus, GCF of Fractions is 2/138009.Finally, GCF of Fractions for 7694/179, 4522/771 is 2/138009.