Greatest Common Factor of 2842/644, 5138/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2842/644, 5138/442

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 2842/644,5138/442

Given fractions are 2842/644,5138/442

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 2842,5138

Greatest Common Factor of Numerators i.e. GCF of 2842,5138 is 14 .

LCM of Denominators means LCM of 644,442 as per the given fractions.

LCM of 644,442 is 142324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2842,5138

GCF of Fractions 2842/644,5138/442 is 14/142324

2 2842, 5138
7 1421, 2569
203, 367

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2842,5138 By Matching Biggest Common Factor Method

Greatest Common Factor of 2842,5138 By Matching Biggest Common Factor Method

Factors of 2842

List of positive integer factors of 2842 that divides 2842 without a remainder.

1,2,7,14,29,49,58,98,203,406,1421,2842

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors 2842,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 2842,5138 is 14.

Lets's calculate LCM of 644,442

2 644, 442
322, 221

∴ So the LCM of the given numbers is 2 x 322 x 221 = 142324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/142324

Therefore, the GCF of Fractions 2842/644,5138/442 is 14/142324

Least Common Multiple of 644,442 with GCF Formula

Least Common Multiple of 644,442 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 644,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,442) = 2

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

GCF(644,442) x common factors =2 x 1 = 2

LCM(644,442) = ( 644 × 442 ) / 2

LCM(644,442) = 284648 / 2

LCM(644,442) = 142324


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 2842/644, 5138/442

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 2842/644, 5138/442?

Answer: GCF of Numerators as per given numbers 2842/644, 5138/442 is

GCF of Numerators i.e. for 2842,5138 is 14

LCM of denominators i.e. for 644,442 is 142324.

Thus, GCF of Fractions is 14/142324.Finally, GCF of Fractions for 2842/644, 5138/442 is 14/142324.