Greatest Common Factor of 117/589, 256/399, 813/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/589, 256/399, 813/967

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 117/589,256/399,813/967

Given fractions are 117/589,256/399,813/967

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 117,256,813

Greatest Common Factor of Numerators i.e. GCF of 117,256,813 is 1 .

LCM of Denominators means LCM of 589,399,967 as per the given fractions.

LCM of 589,399,967 is 11960823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,256,813

GCF of Fractions 117/589,256/399,813/967 is 1/11960823

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

Greatest Common Factor of 117,256,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,256,813 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 117,256,813 . The biggest common factor number is the GCF number.
So the greatest common factor 117,256,813 is 1.

Lets's calculate LCM of 589,399,967

19 589, 399, 967
31, 21, 967

∴ So the LCM of the given numbers is 19 x 31 x 21 x 967 = 11960823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11960823

Therefore, the GCF of Fractions 117/589,256/399,813/967 is 1/11960823

Least Common Multiple of 589,399,967 with GCF Formula

Least Common Multiple of 589,399,967 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 589,399,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,399,967) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(589,399,967) x common factors =1 x 19 = 19

LCM(589,399,967) = ( 589 × 399 × 967 ) / 19

LCM(589,399,967) = 227255637 / 19

LCM(589,399,967) = 11960823


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 117/589, 256/399, 813/967

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 117/589, 256/399, 813/967?

Answer: GCF of Numerators as per given numbers 117/589, 256/399, 813/967 is

GCF of Numerators i.e. for 117,256,813 is 1

LCM of denominators i.e. for 589,399,967 is 11960823.

Thus, GCF of Fractions is 1/11960823.Finally, GCF of Fractions for 117/589, 256/399, 813/967 is 1/11960823.