Greatest Common Factor of 939/96, 326/31, 401/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 939/96, 326/31, 401/589

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 939/96,326/31,401/589

Given fractions are 939/96,326/31,401/589

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 939,326,401

Greatest Common Factor of Numerators i.e. GCF of 939,326,401 is 1 .

LCM of Denominators means LCM of 96,31,589 as per the given fractions.

LCM of 96,31,589 is 56544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 939,326,401

GCF of Fractions 939/96,326/31,401/589 is 1/56544

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

Greatest Common Factor of 939,326,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,326,401 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 939,326,401 . The biggest common factor number is the GCF number.
So the greatest common factor 939,326,401 is 1.

Lets's calculate LCM of 96,31,589

31 96, 31, 589
96, 1, 19

∴ So the LCM of the given numbers is 31 x 96 x 1 x 19 = 56544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56544

Therefore, the GCF of Fractions 939/96,326/31,401/589 is 1/56544

Least Common Multiple of 96,31,589 with GCF Formula

Least Common Multiple of 96,31,589 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 96,31,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,31,589) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(96,31,589) x common factors =1 x 31 = 31

LCM(96,31,589) = ( 96 × 31 × 589 ) / 31

LCM(96,31,589) = 1752864 / 31

LCM(96,31,589) = 56544


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 939/96, 326/31, 401/589

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 939/96, 326/31, 401/589?

Answer: GCF of Numerators as per given numbers 939/96, 326/31, 401/589 is

GCF of Numerators i.e. for 939,326,401 is 1

LCM of denominators i.e. for 96,31,589 is 56544.

Thus, GCF of Fractions is 1/56544.Finally, GCF of Fractions for 939/96, 326/31, 401/589 is 1/56544.