Greatest Common Factor of 4580/558, 9891/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4580/558, 9891/646

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 4580/558,9891/646

Given fractions are 4580/558,9891/646

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 4580,9891

Greatest Common Factor of Numerators i.e. GCF of 4580,9891 is 1 .

LCM of Denominators means LCM of 558,646 as per the given fractions.

LCM of 558,646 is 180234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4580,9891

GCF of Fractions 4580/558,9891/646 is 1/180234

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

Greatest Common Factor of 4580,9891 By Matching Biggest Common Factor Method

Greatest Common Factor of 4580,9891 By Matching Biggest Common Factor Method

Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1,2,4,5,10,20,229,458,916,1145,2290,4580

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1,3,7,9,21,63,157,471,1099,1413,3297,9891

Greatest Common Factor

We found the factors 4580,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 4580,9891 is 1.

Lets's calculate LCM of 558,646

2 558, 646
279, 323

∴ So the LCM of the given numbers is 2 x 279 x 323 = 180234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180234

Therefore, the GCF of Fractions 4580/558,9891/646 is 1/180234

Least Common Multiple of 558,646 with GCF Formula

Least Common Multiple of 558,646 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 558,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,646) = 2

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

GCF(558,646) x common factors =2 x 1 = 2

LCM(558,646) = ( 558 × 646 ) / 2

LCM(558,646) = 360468 / 2

LCM(558,646) = 180234


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 4580/558, 9891/646

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 4580/558, 9891/646?

Answer: GCF of Numerators as per given numbers 4580/558, 9891/646 is

GCF of Numerators i.e. for 4580,9891 is 1

LCM of denominators i.e. for 558,646 is 180234.

Thus, GCF of Fractions is 1/180234.Finally, GCF of Fractions for 4580/558, 9891/646 is 1/180234.