Greatest Common Factor of 738/120, 260/738, 923/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/120, 260/738, 923/903

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 738/120,260/738,923/903

Given fractions are 738/120,260/738,923/903

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 738,260,923

Greatest Common Factor of Numerators i.e. GCF of 738,260,923 is 1 .

LCM of Denominators means LCM of 120,738,903 as per the given fractions.

LCM of 120,738,903 is 4442760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,260,923

GCF of Fractions 738/120,260/738,923/903 is 1/4442760

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

Greatest Common Factor of 738,260,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,260,923 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 738,260,923 . The biggest common factor number is the GCF number.
So the greatest common factor 738,260,923 is 1.

Lets's calculate LCM of 120,738,903

2 120, 738, 903
3 60, 369, 903
20, 123, 301

∴ So the LCM of the given numbers is 2 x 3 x 20 x 123 x 301 = 4442760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4442760

Therefore, the GCF of Fractions 738/120,260/738,923/903 is 1/4442760

Least Common Multiple of 120,738,903 with GCF Formula

Least Common Multiple of 120,738,903 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 120,738,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,738,903) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(120,738,903) x common factors =3 x 6 = 18

LCM(120,738,903) = ( 120 × 738 × 903 ) / 18

LCM(120,738,903) = 79969680 / 18

LCM(120,738,903) = 4442760


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 738/120, 260/738, 923/903

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 738/120, 260/738, 923/903?

Answer: GCF of Numerators as per given numbers 738/120, 260/738, 923/903 is

GCF of Numerators i.e. for 738,260,923 is 1

LCM of denominators i.e. for 120,738,903 is 4442760.

Thus, GCF of Fractions is 1/4442760.Finally, GCF of Fractions for 738/120, 260/738, 923/903 is 1/4442760.