Greatest Common Factor of 676/7086, 559/3819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/7086, 559/3819

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 676/7086,559/3819

Given fractions are 676/7086,559/3819

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 676,559

Greatest Common Factor of Numerators i.e. GCF of 676,559 is 13 .

LCM of Denominators means LCM of 7086,3819 as per the given fractions.

LCM of 7086,3819 is 9020478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,559

GCF of Fractions 676/7086,559/3819 is 13/9020478

13 676, 559
52, 43

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

Greatest Common Factor of 676,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,559 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 676,559 . The biggest common factor number is the GCF number.
So the greatest common factor 676,559 is 13.

Lets's calculate LCM of 7086,3819

3 7086, 3819
2362, 1273

∴ So the LCM of the given numbers is 3 x 2362 x 1273 = 9020478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/9020478

Therefore, the GCF of Fractions 676/7086,559/3819 is 13/9020478

Least Common Multiple of 7086,3819 with GCF Formula

Least Common Multiple of 7086,3819 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 7086,3819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7086,3819) = 3

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

GCF(7086,3819) x common factors =3 x 1 = 3

LCM(7086,3819) = ( 7086 × 3819 ) / 3

LCM(7086,3819) = 27061434 / 3

LCM(7086,3819) = 9020478


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 676/7086, 559/3819

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 676/7086, 559/3819?

Answer: GCF of Numerators as per given numbers 676/7086, 559/3819 is

GCF of Numerators i.e. for 676,559 is 13

LCM of denominators i.e. for 7086,3819 is 9020478.

Thus, GCF of Fractions is 13/9020478.Finally, GCF of Fractions for 676/7086, 559/3819 is 13/9020478.