Greatest Common Factor of 108/649, 580/418, 203/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/649, 580/418, 203/814

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 108/649,580/418,203/814

Given fractions are 108/649,580/418,203/814

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 108,580,203

Greatest Common Factor of Numerators i.e. GCF of 108,580,203 is 1 .

LCM of Denominators means LCM of 649,418,814 as per the given fractions.

LCM of 649,418,814 is 912494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,580,203

GCF of Fractions 108/649,580/418,203/814 is 1/912494

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

Greatest Common Factor of 108,580,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,580,203 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 108,580,203 . The biggest common factor number is the GCF number.
So the greatest common factor 108,580,203 is 1.

Lets's calculate LCM of 649,418,814

2 649, 418, 814
11 649, 209, 407
59, 19, 37

∴ So the LCM of the given numbers is 2 x 11 x 59 x 19 x 37 = 912494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912494

Therefore, the GCF of Fractions 108/649,580/418,203/814 is 1/912494

Least Common Multiple of 649,418,814 with GCF Formula

Least Common Multiple of 649,418,814 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 649,418,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,418,814) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(649,418,814) x common factors =11 x 22 = 242

LCM(649,418,814) = ( 649 × 418 × 814 ) / 242

LCM(649,418,814) = 220823548 / 242

LCM(649,418,814) = 912494


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 108/649, 580/418, 203/814

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 108/649, 580/418, 203/814?

Answer: GCF of Numerators as per given numbers 108/649, 580/418, 203/814 is

GCF of Numerators i.e. for 108,580,203 is 1

LCM of denominators i.e. for 649,418,814 is 912494.

Thus, GCF of Fractions is 1/912494.Finally, GCF of Fractions for 108/649, 580/418, 203/814 is 1/912494.