Greatest Common Factor of 2178/38, 5001/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2178/38, 5001/108

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 2178/38,5001/108

Given fractions are 2178/38,5001/108

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 2178,5001

Greatest Common Factor of Numerators i.e. GCF of 2178,5001 is 3 .

LCM of Denominators means LCM of 38,108 as per the given fractions.

LCM of 38,108 is 2052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2178,5001

GCF of Fractions 2178/38,5001/108 is 3/2052

3 2178, 5001
726, 1667

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2178,5001 By Matching Biggest Common Factor Method

Greatest Common Factor of 2178,5001 By Matching Biggest Common Factor Method

Factors of 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,121,198,242,363,726,1089,2178

Factors of 5001

List of positive integer factors of 5001 that divides 5001 without a remainder.

1,3,1667,5001

Greatest Common Factor

We found the factors 2178,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 2178,5001 is 3.

Lets's calculate LCM of 38,108

2 38, 108
19, 54

∴ So the LCM of the given numbers is 2 x 19 x 54 = 2052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2052

Therefore, the GCF of Fractions 2178/38,5001/108 is 3/2052

Least Common Multiple of 38,108 with GCF Formula

Least Common Multiple of 38,108 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 38,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,108) = 2

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

GCF(38,108) x common factors =2 x 1 = 2

LCM(38,108) = ( 38 × 108 ) / 2

LCM(38,108) = 4104 / 2

LCM(38,108) = 2052


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 2178/38, 5001/108

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 2178/38, 5001/108?

Answer: GCF of Numerators as per given numbers 2178/38, 5001/108 is

GCF of Numerators i.e. for 2178,5001 is 3

LCM of denominators i.e. for 38,108 is 2052.

Thus, GCF of Fractions is 3/2052.Finally, GCF of Fractions for 2178/38, 5001/108 is 3/2052.