Greatest Common Factor of 2675/334, 1372/4296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2675/334, 1372/4296

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 2675/334,1372/4296

Given fractions are 2675/334,1372/4296

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 2675,1372

Greatest Common Factor of Numerators i.e. GCF of 2675,1372 is 1 .

LCM of Denominators means LCM of 334,4296 as per the given fractions.

LCM of 334,4296 is 717432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2675,1372

GCF of Fractions 2675/334,1372/4296 is 1/717432

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

Greatest Common Factor of 2675,1372 By Matching Biggest Common Factor Method

Greatest Common Factor of 2675,1372 By Matching Biggest Common Factor Method

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372

Greatest Common Factor

We found the factors 2675,1372 . The biggest common factor number is the GCF number.
So the greatest common factor 2675,1372 is 1.

Lets's calculate LCM of 334,4296

2 334, 4296
167, 2148

∴ So the LCM of the given numbers is 2 x 167 x 2148 = 717432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717432

Therefore, the GCF of Fractions 2675/334,1372/4296 is 1/717432

Least Common Multiple of 334,4296 with GCF Formula

Least Common Multiple of 334,4296 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 334,4296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,4296) = 2

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

GCF(334,4296) x common factors =2 x 1 = 2

LCM(334,4296) = ( 334 × 4296 ) / 2

LCM(334,4296) = 1434864 / 2

LCM(334,4296) = 717432


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 2675/334, 1372/4296

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 2675/334, 1372/4296?

Answer: GCF of Numerators as per given numbers 2675/334, 1372/4296 is

GCF of Numerators i.e. for 2675,1372 is 1

LCM of denominators i.e. for 334,4296 is 717432.

Thus, GCF of Fractions is 1/717432.Finally, GCF of Fractions for 2675/334, 1372/4296 is 1/717432.