Greatest Common Factor of 724/102, 438/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 724/102, 438/123

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 724/102,438/123

Given fractions are 724/102,438/123

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 724,438

Greatest Common Factor of Numerators i.e. GCF of 724,438 is 2 .

LCM of Denominators means LCM of 102,123 as per the given fractions.

LCM of 102,123 is 4182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 724,438

GCF of Fractions 724/102,438/123 is 2/4182

2 724, 438
362, 219

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 724,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,438 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 724,438 . The biggest common factor number is the GCF number.
So the greatest common factor 724,438 is 2.

Lets's calculate LCM of 102,123

3 102, 123
34, 41

∴ So the LCM of the given numbers is 3 x 34 x 41 = 4182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4182

Therefore, the GCF of Fractions 724/102,438/123 is 2/4182

Least Common Multiple of 102,123 with GCF Formula

Least Common Multiple of 102,123 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 102,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,123) = 3

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

GCF(102,123) x common factors =3 x 1 = 3

LCM(102,123) = ( 102 × 123 ) / 3

LCM(102,123) = 12546 / 3

LCM(102,123) = 4182


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 724/102, 438/123

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 724/102, 438/123?

Answer: GCF of Numerators as per given numbers 724/102, 438/123 is

GCF of Numerators i.e. for 724,438 is 2

LCM of denominators i.e. for 102,123 is 4182.

Thus, GCF of Fractions is 2/4182.Finally, GCF of Fractions for 724/102, 438/123 is 2/4182.