Greatest Common Factor of 5002/43, 3154/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5002/43, 3154/326

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 5002/43,3154/326

Given fractions are 5002/43,3154/326

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 5002,3154

Greatest Common Factor of Numerators i.e. GCF of 5002,3154 is 2 .

LCM of Denominators means LCM of 43,326 as per the given fractions.

LCM of 43,326 is 14018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5002,3154

GCF of Fractions 5002/43,3154/326 is 2/14018

2 5002, 3154
2501, 1577

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5002,3154 By Matching Biggest Common Factor Method

Greatest Common Factor of 5002,3154 By Matching Biggest Common Factor Method

Factors of 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1,2,41,61,82,122,2501,5002

Factors of 3154

List of positive integer factors of 3154 that divides 3154 without a remainder.

1,2,19,38,83,166,1577,3154

Greatest Common Factor

We found the factors 5002,3154 . The biggest common factor number is the GCF number.
So the greatest common factor 5002,3154 is 2.

Lets's calculate LCM of 43,326

Given numbers has no common factors except 1. So, there LCM is their product i.e 14018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14018

Therefore, the GCF of Fractions 5002/43,3154/326 is 2/14018

Least Common Multiple of 43,326 with GCF Formula

Least Common Multiple of 43,326 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 43,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,326) = 1

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

GCF(43,326) x common factors =1 x 1 = 1

LCM(43,326) = ( 43 × 326 ) / 1

LCM(43,326) = 14018 / 1

LCM(43,326) = 14018


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 5002/43, 3154/326

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 5002/43, 3154/326?

Answer: GCF of Numerators as per given numbers 5002/43, 3154/326 is

GCF of Numerators i.e. for 5002,3154 is 2

LCM of denominators i.e. for 43,326 is 14018.

Thus, GCF of Fractions is 2/14018.Finally, GCF of Fractions for 5002/43, 3154/326 is 2/14018.