Greatest Common Factor of 679/546, 8918/7709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 679/546, 8918/7709

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 679/546,8918/7709

Given fractions are 679/546,8918/7709

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 679,8918

Greatest Common Factor of Numerators i.e. GCF of 679,8918 is 7 .

LCM of Denominators means LCM of 546,7709 as per the given fractions.

LCM of 546,7709 is 323778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 679,8918

GCF of Fractions 679/546,8918/7709 is 7/323778

7 679, 8918
97, 1274

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 679,8918 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,8918 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Greatest Common Factor

We found the factors 679,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 679,8918 is 7.

Lets's calculate LCM of 546,7709

13 546, 7709
42, 593

∴ So the LCM of the given numbers is 13 x 42 x 593 = 323778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/323778

Therefore, the GCF of Fractions 679/546,8918/7709 is 7/323778

Least Common Multiple of 546,7709 with GCF Formula

Least Common Multiple of 546,7709 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 546,7709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,7709) = 13

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

GCF(546,7709) x common factors =13 x 1 = 13

LCM(546,7709) = ( 546 × 7709 ) / 13

LCM(546,7709) = 4209114 / 13

LCM(546,7709) = 323778


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 679/546, 8918/7709

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 679/546, 8918/7709?

Answer: GCF of Numerators as per given numbers 679/546, 8918/7709 is

GCF of Numerators i.e. for 679,8918 is 7

LCM of denominators i.e. for 546,7709 is 323778.

Thus, GCF of Fractions is 7/323778.Finally, GCF of Fractions for 679/546, 8918/7709 is 7/323778.