Greatest Common Factor of 5253/218, 1938/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5253/218, 1938/502

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 5253/218,1938/502

Given fractions are 5253/218,1938/502

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 5253,1938

Greatest Common Factor of Numerators i.e. GCF of 5253,1938 is 51 .

LCM of Denominators means LCM of 218,502 as per the given fractions.

LCM of 218,502 is 54718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5253,1938

GCF of Fractions 5253/218,1938/502 is 51/54718

3 5253, 1938
17 1751, 646
103, 38

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 5253,1938 By Matching Biggest Common Factor Method

Greatest Common Factor of 5253,1938 By Matching Biggest Common Factor Method

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938

Greatest Common Factor

We found the factors 5253,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 5253,1938 is 51.

Lets's calculate LCM of 218,502

2 218, 502
109, 251

∴ So the LCM of the given numbers is 2 x 109 x 251 = 54718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/54718

Therefore, the GCF of Fractions 5253/218,1938/502 is 51/54718

Least Common Multiple of 218,502 with GCF Formula

Least Common Multiple of 218,502 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 218,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,502) = 2

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

GCF(218,502) x common factors =2 x 1 = 2

LCM(218,502) = ( 218 × 502 ) / 2

LCM(218,502) = 109436 / 2

LCM(218,502) = 54718


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 5253/218, 1938/502

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 5253/218, 1938/502?

Answer: GCF of Numerators as per given numbers 5253/218, 1938/502 is

GCF of Numerators i.e. for 5253,1938 is 51

LCM of denominators i.e. for 218,502 is 54718.

Thus, GCF of Fractions is 51/54718.Finally, GCF of Fractions for 5253/218, 1938/502 is 51/54718.