Greatest Common Factor of 6779/272, 7517/5800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6779/272, 7517/5800

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 6779/272,7517/5800

Given fractions are 6779/272,7517/5800

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 6779,7517

Greatest Common Factor of Numerators i.e. GCF of 6779,7517 is 1 .

LCM of Denominators means LCM of 272,5800 as per the given fractions.

LCM of 272,5800 is 197200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6779,7517

GCF of Fractions 6779/272,7517/5800 is 1/197200

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

Greatest Common Factor of 6779,7517 By Matching Biggest Common Factor Method

Greatest Common Factor of 6779,7517 By Matching Biggest Common Factor Method

Factors of 6779

List of positive integer factors of 6779 that divides 6779 without a remainder.

1,6779

Factors of 7517

List of positive integer factors of 7517 that divides 7517 without a remainder.

1,7517

Greatest Common Factor

We found the factors 6779,7517 . The biggest common factor number is the GCF number.
So the greatest common factor 6779,7517 is 1.

Lets's calculate LCM of 272,5800

2 272, 5800
2 136, 2900
2 68, 1450
34, 725

∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 725 = 197200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197200

Therefore, the GCF of Fractions 6779/272,7517/5800 is 1/197200

Least Common Multiple of 272,5800 with GCF Formula

Least Common Multiple of 272,5800 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 272,5800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,5800) = 8

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

GCF(272,5800) x common factors =8 x 1 = 8

LCM(272,5800) = ( 272 × 5800 ) / 8

LCM(272,5800) = 1577600 / 8

LCM(272,5800) = 197200


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 6779/272, 7517/5800

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 6779/272, 7517/5800?

Answer: GCF of Numerators as per given numbers 6779/272, 7517/5800 is

GCF of Numerators i.e. for 6779,7517 is 1

LCM of denominators i.e. for 272,5800 is 197200.

Thus, GCF of Fractions is 1/197200.Finally, GCF of Fractions for 6779/272, 7517/5800 is 1/197200.