Greatest Common Factor of 5281/500, 7676/6685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5281/500, 7676/6685

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 5281/500,7676/6685

Given fractions are 5281/500,7676/6685

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 5281,7676

Greatest Common Factor of Numerators i.e. GCF of 5281,7676 is 1 .

LCM of Denominators means LCM of 500,6685 as per the given fractions.

LCM of 500,6685 is 668500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5281,7676

GCF of Fractions 5281/500,7676/6685 is 1/668500

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5281,7676 By Matching Biggest Common Factor Method

Greatest Common Factor of 5281,7676 By Matching Biggest Common Factor Method

Factors of 5281

List of positive integer factors of 5281 that divides 5281 without a remainder.

1,5281

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1,2,4,19,38,76,101,202,404,1919,3838,7676

Greatest Common Factor

We found the factors 5281,7676 . The biggest common factor number is the GCF number.
So the greatest common factor 5281,7676 is 1.

Lets's calculate LCM of 500,6685

5 500, 6685
100, 1337

∴ So the LCM of the given numbers is 5 x 100 x 1337 = 668500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/668500

Therefore, the GCF of Fractions 5281/500,7676/6685 is 1/668500

Least Common Multiple of 500,6685 with GCF Formula

Least Common Multiple of 500,6685 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 500,6685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,6685) = 5

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

GCF(500,6685) x common factors =5 x 1 = 5

LCM(500,6685) = ( 500 × 6685 ) / 5

LCM(500,6685) = 3342500 / 5

LCM(500,6685) = 668500


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 5281/500, 7676/6685

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 5281/500, 7676/6685?

Answer: GCF of Numerators as per given numbers 5281/500, 7676/6685 is

GCF of Numerators i.e. for 5281,7676 is 1

LCM of denominators i.e. for 500,6685 is 668500.

Thus, GCF of Fractions is 1/668500.Finally, GCF of Fractions for 5281/500, 7676/6685 is 1/668500.