Greatest Common Factor of 731/38, 310/70, 768/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/38, 310/70, 768/294

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 731/38,310/70,768/294

Given fractions are 731/38,310/70,768/294

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 731,310,768

Greatest Common Factor of Numerators i.e. GCF of 731,310,768 is 1 .

LCM of Denominators means LCM of 38,70,294 as per the given fractions.

LCM of 38,70,294 is 27930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,310,768

GCF of Fractions 731/38,310/70,768/294 is 1/27930

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

Greatest Common Factor of 731,310,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,310,768 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 731,310,768 . The biggest common factor number is the GCF number.
So the greatest common factor 731,310,768 is 1.

Lets's calculate LCM of 38,70,294

2 38, 70, 294
7 19, 35, 147
19, 5, 21

∴ So the LCM of the given numbers is 2 x 7 x 19 x 5 x 21 = 27930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27930

Therefore, the GCF of Fractions 731/38,310/70,768/294 is 1/27930

Least Common Multiple of 38,70,294 with GCF Formula

Least Common Multiple of 38,70,294 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 38,70,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,70,294) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(38,70,294) x common factors =2 x 14 = 28

LCM(38,70,294) = ( 38 × 70 × 294 ) / 28

LCM(38,70,294) = 782040 / 28

LCM(38,70,294) = 27930


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 731/38, 310/70, 768/294

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 731/38, 310/70, 768/294?

Answer: GCF of Numerators as per given numbers 731/38, 310/70, 768/294 is

GCF of Numerators i.e. for 731,310,768 is 1

LCM of denominators i.e. for 38,70,294 is 27930.

Thus, GCF of Fractions is 1/27930.Finally, GCF of Fractions for 731/38, 310/70, 768/294 is 1/27930.