Greatest Common Factor of 26/904, 564/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/904, 564/790

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 26/904,564/790

Given fractions are 26/904,564/790

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 26,564

Greatest Common Factor of Numerators i.e. GCF of 26,564 is 2 .

LCM of Denominators means LCM of 904,790 as per the given fractions.

LCM of 904,790 is 357080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,564

GCF of Fractions 26/904,564/790 is 2/357080

2 26, 564
13, 282

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

Greatest Common Factor of 26,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,564 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 26,564 . The biggest common factor number is the GCF number.
So the greatest common factor 26,564 is 2.

Lets's calculate LCM of 904,790

2 904, 790
452, 395

∴ So the LCM of the given numbers is 2 x 452 x 395 = 357080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/357080

Therefore, the GCF of Fractions 26/904,564/790 is 2/357080

Least Common Multiple of 904,790 with GCF Formula

Least Common Multiple of 904,790 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 904,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,790) = 2

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

GCF(904,790) x common factors =2 x 1 = 2

LCM(904,790) = ( 904 × 790 ) / 2

LCM(904,790) = 714160 / 2

LCM(904,790) = 357080


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 26/904, 564/790

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 26/904, 564/790?

Answer: GCF of Numerators as per given numbers 26/904, 564/790 is

GCF of Numerators i.e. for 26,564 is 2

LCM of denominators i.e. for 904,790 is 357080.

Thus, GCF of Fractions is 2/357080.Finally, GCF of Fractions for 26/904, 564/790 is 2/357080.