Greatest Common Factor of 6519/217, 3063/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6519/217, 3063/377

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 6519/217,3063/377

Given fractions are 6519/217,3063/377

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 6519,3063

Greatest Common Factor of Numerators i.e. GCF of 6519,3063 is 3 .

LCM of Denominators means LCM of 217,377 as per the given fractions.

LCM of 217,377 is 81809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6519,3063

GCF of Fractions 6519/217,3063/377 is 3/81809

3 6519, 3063
2173, 1021

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

Greatest Common Factor of 6519,3063 By Matching Biggest Common Factor Method

Greatest Common Factor of 6519,3063 By Matching Biggest Common Factor Method

Factors of 6519

List of positive integer factors of 6519 that divides 6519 without a remainder.

1,3,41,53,123,159,2173,6519

Factors of 3063

List of positive integer factors of 3063 that divides 3063 without a remainder.

1,3,1021,3063

Greatest Common Factor

We found the factors 6519,3063 . The biggest common factor number is the GCF number.
So the greatest common factor 6519,3063 is 3.

Lets's calculate LCM of 217,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 81809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/81809

Therefore, the GCF of Fractions 6519/217,3063/377 is 3/81809

Least Common Multiple of 217,377 with GCF Formula

Least Common Multiple of 217,377 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 217,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,377) = 1

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

GCF(217,377) x common factors =1 x 1 = 1

LCM(217,377) = ( 217 × 377 ) / 1

LCM(217,377) = 81809 / 1

LCM(217,377) = 81809


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 6519/217, 3063/377

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 6519/217, 3063/377?

Answer: GCF of Numerators as per given numbers 6519/217, 3063/377 is

GCF of Numerators i.e. for 6519,3063 is 3

LCM of denominators i.e. for 217,377 is 81809.

Thus, GCF of Fractions is 3/81809.Finally, GCF of Fractions for 6519/217, 3063/377 is 3/81809.