Greatest Common Factor of 6123/620, 5253/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6123/620, 5253/139

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 6123/620,5253/139

Given fractions are 6123/620,5253/139

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 6123,5253

Greatest Common Factor of Numerators i.e. GCF of 6123,5253 is 3 .

LCM of Denominators means LCM of 620,139 as per the given fractions.

LCM of 620,139 is 86180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6123,5253

GCF of Fractions 6123/620,5253/139 is 3/86180

3 6123, 5253
2041, 1751

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

Greatest Common Factor of 6123,5253 By Matching Biggest Common Factor Method

Greatest Common Factor of 6123,5253 By Matching Biggest Common Factor Method

Factors of 6123

List of positive integer factors of 6123 that divides 6123 without a remainder.

1,3,13,39,157,471,2041,6123

Factors of 5253

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

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

Greatest Common Factor

We found the factors 6123,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 6123,5253 is 3.

Lets's calculate LCM of 620,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 86180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86180

Therefore, the GCF of Fractions 6123/620,5253/139 is 3/86180

Least Common Multiple of 620,139 with GCF Formula

Least Common Multiple of 620,139 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 620,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,139) = 1

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

GCF(620,139) x common factors =1 x 1 = 1

LCM(620,139) = ( 620 × 139 ) / 1

LCM(620,139) = 86180 / 1

LCM(620,139) = 86180


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 6123/620, 5253/139

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 6123/620, 5253/139?

Answer: GCF of Numerators as per given numbers 6123/620, 5253/139 is

GCF of Numerators i.e. for 6123,5253 is 3

LCM of denominators i.e. for 620,139 is 86180.

Thus, GCF of Fractions is 3/86180.Finally, GCF of Fractions for 6123/620, 5253/139 is 3/86180.