Greatest Common Factor of 517/721, 124/343, 123/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/721, 124/343, 123/631

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 517/721,124/343,123/631

Given fractions are 517/721,124/343,123/631

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 517,124,123

Greatest Common Factor of Numerators i.e. GCF of 517,124,123 is 1 .

LCM of Denominators means LCM of 721,343,631 as per the given fractions.

LCM of 721,343,631 is 22292599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,124,123

GCF of Fractions 517/721,124/343,123/631 is 1/22292599

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

Greatest Common Factor of 517,124,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,124,123 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 517,124,123 . The biggest common factor number is the GCF number.
So the greatest common factor 517,124,123 is 1.

Lets's calculate LCM of 721,343,631

7 721, 343, 631
103, 49, 631

∴ So the LCM of the given numbers is 7 x 103 x 49 x 631 = 22292599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22292599

Therefore, the GCF of Fractions 517/721,124/343,123/631 is 1/22292599

Least Common Multiple of 721,343,631 with GCF Formula

Least Common Multiple of 721,343,631 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 721,343,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,343,631) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(721,343,631) x common factors =1 x 7 = 7

LCM(721,343,631) = ( 721 × 343 × 631 ) / 7

LCM(721,343,631) = 156048193 / 7

LCM(721,343,631) = 22292599


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 517/721, 124/343, 123/631

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 517/721, 124/343, 123/631?

Answer: GCF of Numerators as per given numbers 517/721, 124/343, 123/631 is

GCF of Numerators i.e. for 517,124,123 is 1

LCM of denominators i.e. for 721,343,631 is 22292599.

Thus, GCF of Fractions is 1/22292599.Finally, GCF of Fractions for 517/721, 124/343, 123/631 is 1/22292599.