Greatest Common Factor of 1179/271, 4323/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1179/271, 4323/493

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 1179/271,4323/493

Given fractions are 1179/271,4323/493

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 1179,4323

Greatest Common Factor of Numerators i.e. GCF of 1179,4323 is 393 .

LCM of Denominators means LCM of 271,493 as per the given fractions.

LCM of 271,493 is 133603 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1179,4323

GCF of Fractions 1179/271,4323/493 is 393/133603

3 1179, 4323
131 393, 1441
3, 11

∴ So the GCF of the given numbers is 3 x 131 = 393

Greatest Common Factor of 1179,4323 By Matching Biggest Common Factor Method

Greatest Common Factor of 1179,4323 By Matching Biggest Common Factor Method

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1,3,9,131,393,1179

Factors of 4323

List of positive integer factors of 4323 that divides 4323 without a remainder.

1,3,11,33,131,393,1441,4323

Greatest Common Factor

We found the factors 1179,4323 . The biggest common factor number is the GCF number.
So the greatest common factor 1179,4323 is 393.

Lets's calculate LCM of 271,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 133603

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 393/133603

Therefore, the GCF of Fractions 1179/271,4323/493 is 393/133603

Least Common Multiple of 271,493 with GCF Formula

Least Common Multiple of 271,493 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 271,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,493) = 1

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

GCF(271,493) x common factors =1 x 1 = 1

LCM(271,493) = ( 271 × 493 ) / 1

LCM(271,493) = 133603 / 1

LCM(271,493) = 133603


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 1179/271, 4323/493

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 1179/271, 4323/493?

Answer: GCF of Numerators as per given numbers 1179/271, 4323/493 is

GCF of Numerators i.e. for 1179,4323 is 393

LCM of denominators i.e. for 271,493 is 133603.

Thus, GCF of Fractions is 393/133603.Finally, GCF of Fractions for 1179/271, 4323/493 is 393/133603.