Greatest Common Factor of 317/726, 324/660, 844/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/726, 324/660, 844/401

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 317/726,324/660,844/401

Given fractions are 317/726,324/660,844/401

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 317,324,844

Greatest Common Factor of Numerators i.e. GCF of 317,324,844 is 1 .

LCM of Denominators means LCM of 726,660,401 as per the given fractions.

LCM of 726,660,401 is 2911260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,324,844

GCF of Fractions 317/726,324/660,844/401 is 1/2911260

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

Greatest Common Factor of 317,324,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,324,844 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 317,324,844 . The biggest common factor number is the GCF number.
So the greatest common factor 317,324,844 is 1.

Lets's calculate LCM of 726,660,401

2 726, 660, 401
3 363, 330, 401
11 121, 110, 401
11, 10, 401

∴ So the LCM of the given numbers is 2 x 3 x 11 x 11 x 10 x 401 = 2911260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2911260

Therefore, the GCF of Fractions 317/726,324/660,844/401 is 1/2911260

Least Common Multiple of 726,660,401 with GCF Formula

Least Common Multiple of 726,660,401 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 726,660,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,660,401) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(726,660,401) x common factors =1 x 66 = 66

LCM(726,660,401) = ( 726 × 660 × 401 ) / 66

LCM(726,660,401) = 192143160 / 66

LCM(726,660,401) = 2911260


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 317/726, 324/660, 844/401

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 317/726, 324/660, 844/401?

Answer: GCF of Numerators as per given numbers 317/726, 324/660, 844/401 is

GCF of Numerators i.e. for 317,324,844 is 1

LCM of denominators i.e. for 726,660,401 is 2911260.

Thus, GCF of Fractions is 1/2911260.Finally, GCF of Fractions for 317/726, 324/660, 844/401 is 1/2911260.