Greatest Common Factor of 5321/254, 1427/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5321/254, 1427/684

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 5321/254,1427/684

Given fractions are 5321/254,1427/684

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 5321,1427

Greatest Common Factor of Numerators i.e. GCF of 5321,1427 is 1 .

LCM of Denominators means LCM of 254,684 as per the given fractions.

LCM of 254,684 is 86868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5321,1427

GCF of Fractions 5321/254,1427/684 is 1/86868

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

Greatest Common Factor of 5321,1427 By Matching Biggest Common Factor Method

Greatest Common Factor of 5321,1427 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 1427

List of positive integer factors of 1427 that divides 1427 without a remainder.

1,1427

Greatest Common Factor

We found the factors 5321,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,1427 is 1.

Lets's calculate LCM of 254,684

2 254, 684
127, 342

∴ So the LCM of the given numbers is 2 x 127 x 342 = 86868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86868

Therefore, the GCF of Fractions 5321/254,1427/684 is 1/86868

Least Common Multiple of 254,684 with GCF Formula

Least Common Multiple of 254,684 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 254,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,684) = 2

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

GCF(254,684) x common factors =2 x 1 = 2

LCM(254,684) = ( 254 × 684 ) / 2

LCM(254,684) = 173736 / 2

LCM(254,684) = 86868


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 5321/254, 1427/684

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 5321/254, 1427/684?

Answer: GCF of Numerators as per given numbers 5321/254, 1427/684 is

GCF of Numerators i.e. for 5321,1427 is 1

LCM of denominators i.e. for 254,684 is 86868.

Thus, GCF of Fractions is 1/86868.Finally, GCF of Fractions for 5321/254, 1427/684 is 1/86868.