Greatest Common Factor of 904/29, 713/39, 731/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/29, 713/39, 731/780

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 904/29,713/39,731/780

Given fractions are 904/29,713/39,731/780

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 904,713,731

Greatest Common Factor of Numerators i.e. GCF of 904,713,731 is 1 .

LCM of Denominators means LCM of 29,39,780 as per the given fractions.

LCM of 29,39,780 is 22620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,713,731

GCF of Fractions 904/29,713/39,731/780 is 1/22620

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

Greatest Common Factor of 904,713,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,713,731 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 731

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

1,17,43,731

Greatest Common Factor

We found the factors 904,713,731 . The biggest common factor number is the GCF number.
So the greatest common factor 904,713,731 is 1.

Lets's calculate LCM of 29,39,780

3 29, 39, 780
13 29, 13, 260
29, 1, 20

∴ So the LCM of the given numbers is 3 x 13 x 29 x 1 x 20 = 22620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22620

Therefore, the GCF of Fractions 904/29,713/39,731/780 is 1/22620

Least Common Multiple of 29,39,780 with GCF Formula

Least Common Multiple of 29,39,780 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 29,39,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,39,780) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(29,39,780) x common factors =1 x 39 = 39

LCM(29,39,780) = ( 29 × 39 × 780 ) / 39

LCM(29,39,780) = 882180 / 39

LCM(29,39,780) = 22620


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 904/29, 713/39, 731/780

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 904/29, 713/39, 731/780?

Answer: GCF of Numerators as per given numbers 904/29, 713/39, 731/780 is

GCF of Numerators i.e. for 904,713,731 is 1

LCM of denominators i.e. for 29,39,780 is 22620.

Thus, GCF of Fractions is 1/22620.Finally, GCF of Fractions for 904/29, 713/39, 731/780 is 1/22620.