Greatest Common Factor of 9436/58, 2877/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9436/58, 2877/514

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 9436/58,2877/514

Given fractions are 9436/58,2877/514

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 9436,2877

Greatest Common Factor of Numerators i.e. GCF of 9436,2877 is 7 .

LCM of Denominators means LCM of 58,514 as per the given fractions.

LCM of 58,514 is 14906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9436,2877

GCF of Fractions 9436/58,2877/514 is 7/14906

7 9436, 2877
1348, 411

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9436,2877 By Matching Biggest Common Factor Method

Greatest Common Factor of 9436,2877 By Matching Biggest Common Factor Method

Factors of 9436

List of positive integer factors of 9436 that divides 9436 without a remainder.

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Factors of 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1,3,7,21,137,411,959,2877

Greatest Common Factor

We found the factors 9436,2877 . The biggest common factor number is the GCF number.
So the greatest common factor 9436,2877 is 7.

Lets's calculate LCM of 58,514

2 58, 514
29, 257

∴ So the LCM of the given numbers is 2 x 29 x 257 = 14906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/14906

Therefore, the GCF of Fractions 9436/58,2877/514 is 7/14906

Least Common Multiple of 58,514 with GCF Formula

Least Common Multiple of 58,514 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 58,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,514) = 2

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

GCF(58,514) x common factors =2 x 1 = 2

LCM(58,514) = ( 58 × 514 ) / 2

LCM(58,514) = 29812 / 2

LCM(58,514) = 14906


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 9436/58, 2877/514

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 9436/58, 2877/514?

Answer: GCF of Numerators as per given numbers 9436/58, 2877/514 is

GCF of Numerators i.e. for 9436,2877 is 7

LCM of denominators i.e. for 58,514 is 14906.

Thus, GCF of Fractions is 7/14906.Finally, GCF of Fractions for 9436/58, 2877/514 is 7/14906.