Greatest Common Factor of 5321/43, 7493/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5321/43, 7493/279

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 5321/43,7493/279

Given fractions are 5321/43,7493/279

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 5321,7493

Greatest Common Factor of Numerators i.e. GCF of 5321,7493 is 1 .

LCM of Denominators means LCM of 43,279 as per the given fractions.

LCM of 43,279 is 11997 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5321,7493

GCF of Fractions 5321/43,7493/279 is 1/11997

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

Greatest Common Factor of 5321,7493 By Matching Biggest Common Factor Method

Greatest Common Factor of 5321,7493 By Matching Biggest Common Factor Method

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1,17,313,5321

Factors of 7493

List of positive integer factors of 7493 that divides 7493 without a remainder.

1,59,127,7493

Greatest Common Factor

We found the factors 5321,7493 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,7493 is 1.

Lets's calculate LCM of 43,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 11997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11997

Therefore, the GCF of Fractions 5321/43,7493/279 is 1/11997

Least Common Multiple of 43,279 with GCF Formula

Least Common Multiple of 43,279 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 43,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,279) = 1

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

GCF(43,279) x common factors =1 x 1 = 1

LCM(43,279) = ( 43 × 279 ) / 1

LCM(43,279) = 11997 / 1

LCM(43,279) = 11997


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 5321/43, 7493/279

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 5321/43, 7493/279?

Answer: GCF of Numerators as per given numbers 5321/43, 7493/279 is

GCF of Numerators i.e. for 5321,7493 is 1

LCM of denominators i.e. for 43,279 is 11997.

Thus, GCF of Fractions is 1/11997.Finally, GCF of Fractions for 5321/43, 7493/279 is 1/11997.