Greatest Common Factor of 579/80, 797/37, 935/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 579/80, 797/37, 935/555

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 579/80,797/37,935/555

Given fractions are 579/80,797/37,935/555

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 579,797,935

Greatest Common Factor of Numerators i.e. GCF of 579,797,935 is 1 .

LCM of Denominators means LCM of 80,37,555 as per the given fractions.

LCM of 80,37,555 is 8880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 579,797,935

GCF of Fractions 579/80,797/37,935/555 is 1/8880

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

Greatest Common Factor of 579,797,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,797,935 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 579,797,935 . The biggest common factor number is the GCF number.
So the greatest common factor 579,797,935 is 1.

Lets's calculate LCM of 80,37,555

5 80, 37, 555
37 16, 37, 111
16, 1, 3

∴ So the LCM of the given numbers is 5 x 37 x 16 x 1 x 3 = 8880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8880

Therefore, the GCF of Fractions 579/80,797/37,935/555 is 1/8880

Least Common Multiple of 80,37,555 with GCF Formula

Least Common Multiple of 80,37,555 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 80,37,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,37,555) = 1

common factors(in case of two or more numbers have common factors) = 185

GCF(80,37,555) x common factors =1 x 185 = 185

LCM(80,37,555) = ( 80 × 37 × 555 ) / 185

LCM(80,37,555) = 1642800 / 185

LCM(80,37,555) = 8880


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 579/80, 797/37, 935/555

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 579/80, 797/37, 935/555?

Answer: GCF of Numerators as per given numbers 579/80, 797/37, 935/555 is

GCF of Numerators i.e. for 579,797,935 is 1

LCM of denominators i.e. for 80,37,555 is 8880.

Thus, GCF of Fractions is 1/8880.Finally, GCF of Fractions for 579/80, 797/37, 935/555 is 1/8880.