Greatest Common Factor of 903/410, 315/722, 761/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/410, 315/722, 761/646

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 903/410,315/722,761/646

Given fractions are 903/410,315/722,761/646

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 903,315,761

Greatest Common Factor of Numerators i.e. GCF of 903,315,761 is 1 .

LCM of Denominators means LCM of 410,722,646 as per the given fractions.

LCM of 410,722,646 is 2516170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,315,761

GCF of Fractions 903/410,315/722,761/646 is 1/2516170

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

Greatest Common Factor of 903,315,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,315,761 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 903,315,761 . The biggest common factor number is the GCF number.
So the greatest common factor 903,315,761 is 1.

Lets's calculate LCM of 410,722,646

2 410, 722, 646
19 205, 361, 323
205, 19, 17

∴ So the LCM of the given numbers is 2 x 19 x 205 x 19 x 17 = 2516170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2516170

Therefore, the GCF of Fractions 903/410,315/722,761/646 is 1/2516170

Least Common Multiple of 410,722,646 with GCF Formula

Least Common Multiple of 410,722,646 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 410,722,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,722,646) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(410,722,646) x common factors =2 x 38 = 76

LCM(410,722,646) = ( 410 × 722 × 646 ) / 76

LCM(410,722,646) = 191228920 / 76

LCM(410,722,646) = 2516170


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 903/410, 315/722, 761/646

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 903/410, 315/722, 761/646?

Answer: GCF of Numerators as per given numbers 903/410, 315/722, 761/646 is

GCF of Numerators i.e. for 903,315,761 is 1

LCM of denominators i.e. for 410,722,646 is 2516170.

Thus, GCF of Fractions is 1/2516170.Finally, GCF of Fractions for 903/410, 315/722, 761/646 is 1/2516170.