Greatest Common Factor of 5579/979, 4782/7345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5579/979, 4782/7345

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 5579/979,4782/7345

Given fractions are 5579/979,4782/7345

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 5579,4782

Greatest Common Factor of Numerators i.e. GCF of 5579,4782 is 797 .

LCM of Denominators means LCM of 979,7345 as per the given fractions.

LCM of 979,7345 is 7190755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5579,4782

GCF of Fractions 5579/979,4782/7345 is 797/7190755

797 5579, 4782
7, 6

∴ So the GCF of the given numbers is 797 = 797

Greatest Common Factor of 5579,4782 By Matching Biggest Common Factor Method

Greatest Common Factor of 5579,4782 By Matching Biggest Common Factor Method

Factors of 5579

List of positive integer factors of 5579 that divides 5579 without a remainder.

1,7,797,5579

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1,2,3,6,797,1594,2391,4782

Greatest Common Factor

We found the factors 5579,4782 . The biggest common factor number is the GCF number.
So the greatest common factor 5579,4782 is 797.

Lets's calculate LCM of 979,7345

Given numbers has no common factors except 1. So, there LCM is their product i.e 7190755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 797/7190755

Therefore, the GCF of Fractions 5579/979,4782/7345 is 797/7190755

Least Common Multiple of 979,7345 with GCF Formula

Least Common Multiple of 979,7345 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 979,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,7345) = 1

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

GCF(979,7345) x common factors =1 x 1 = 1

LCM(979,7345) = ( 979 × 7345 ) / 1

LCM(979,7345) = 7190755 / 1

LCM(979,7345) = 7190755


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 5579/979, 4782/7345

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 5579/979, 4782/7345?

Answer: GCF of Numerators as per given numbers 5579/979, 4782/7345 is

GCF of Numerators i.e. for 5579,4782 is 797

LCM of denominators i.e. for 979,7345 is 7190755.

Thus, GCF of Fractions is 797/7190755.Finally, GCF of Fractions for 5579/979, 4782/7345 is 797/7190755.