Greatest Common Factor of 26/327, 684/753, 229/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/327, 684/753, 229/652

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 26/327,684/753,229/652

Given fractions are 26/327,684/753,229/652

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 26,684,229

Greatest Common Factor of Numerators i.e. GCF of 26,684,229 is 1 .

LCM of Denominators means LCM of 327,753,652 as per the given fractions.

LCM of 327,753,652 is 53514204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,684,229

GCF of Fractions 26/327,684/753,229/652 is 1/53514204

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

Greatest Common Factor of 26,684,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,684,229 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 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 26,684,229 . The biggest common factor number is the GCF number.
So the greatest common factor 26,684,229 is 1.

Lets's calculate LCM of 327,753,652

3 327, 753, 652
109, 251, 652

∴ So the LCM of the given numbers is 3 x 109 x 251 x 652 = 53514204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53514204

Therefore, the GCF of Fractions 26/327,684/753,229/652 is 1/53514204

Least Common Multiple of 327,753,652 with GCF Formula

Least Common Multiple of 327,753,652 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 327,753,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,753,652) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(327,753,652) x common factors =1 x 3 = 3

LCM(327,753,652) = ( 327 × 753 × 652 ) / 3

LCM(327,753,652) = 160542612 / 3

LCM(327,753,652) = 53514204


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 26/327, 684/753, 229/652

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 26/327, 684/753, 229/652?

Answer: GCF of Numerators as per given numbers 26/327, 684/753, 229/652 is

GCF of Numerators i.e. for 26,684,229 is 1

LCM of denominators i.e. for 327,753,652 is 53514204.

Thus, GCF of Fractions is 1/53514204.Finally, GCF of Fractions for 26/327, 684/753, 229/652 is 1/53514204.