Greatest Common Factor of 6513/287, 7826/4983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6513/287, 7826/4983

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 6513/287,7826/4983

Given fractions are 6513/287,7826/4983

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 6513,7826

Greatest Common Factor of Numerators i.e. GCF of 6513,7826 is 13 .

LCM of Denominators means LCM of 287,4983 as per the given fractions.

LCM of 287,4983 is 1430121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6513,7826

GCF of Fractions 6513/287,7826/4983 is 13/1430121

13 6513, 7826
501, 602

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6513,7826 By Matching Biggest Common Factor Method

Greatest Common Factor of 6513,7826 By Matching Biggest Common Factor Method

Factors of 6513

List of positive integer factors of 6513 that divides 6513 without a remainder.

1,3,13,39,167,501,2171,6513

Factors of 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826

Greatest Common Factor

We found the factors 6513,7826 . The biggest common factor number is the GCF number.
So the greatest common factor 6513,7826 is 13.

Lets's calculate LCM of 287,4983

Given numbers has no common factors except 1. So, there LCM is their product i.e 1430121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1430121

Therefore, the GCF of Fractions 6513/287,7826/4983 is 13/1430121

Least Common Multiple of 287,4983 with GCF Formula

Least Common Multiple of 287,4983 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 287,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,4983) = 1

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

GCF(287,4983) x common factors =1 x 1 = 1

LCM(287,4983) = ( 287 × 4983 ) / 1

LCM(287,4983) = 1430121 / 1

LCM(287,4983) = 1430121


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 6513/287, 7826/4983

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 6513/287, 7826/4983?

Answer: GCF of Numerators as per given numbers 6513/287, 7826/4983 is

GCF of Numerators i.e. for 6513,7826 is 13

LCM of denominators i.e. for 287,4983 is 1430121.

Thus, GCF of Fractions is 13/1430121.Finally, GCF of Fractions for 6513/287, 7826/4983 is 13/1430121.