Greatest Common Factor of 39/132, 861/879, 589/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/132, 861/879, 589/343

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 39/132,861/879,589/343

Given fractions are 39/132,861/879,589/343

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 39,861,589

Greatest Common Factor of Numerators i.e. GCF of 39,861,589 is 1 .

LCM of Denominators means LCM of 132,879,343 as per the given fractions.

LCM of 132,879,343 is 13265868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,861,589

GCF of Fractions 39/132,861/879,589/343 is 1/13265868

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

Greatest Common Factor of 39,861,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,861,589 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 39,861,589 . The biggest common factor number is the GCF number.
So the greatest common factor 39,861,589 is 1.

Lets's calculate LCM of 132,879,343

3 132, 879, 343
44, 293, 343

∴ So the LCM of the given numbers is 3 x 44 x 293 x 343 = 13265868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13265868

Therefore, the GCF of Fractions 39/132,861/879,589/343 is 1/13265868

Least Common Multiple of 132,879,343 with GCF Formula

Least Common Multiple of 132,879,343 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 132,879,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,879,343) = 1

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

GCF(132,879,343) x common factors =1 x 3 = 3

LCM(132,879,343) = ( 132 × 879 × 343 ) / 3

LCM(132,879,343) = 39797604 / 3

LCM(132,879,343) = 13265868


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 39/132, 861/879, 589/343

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 39/132, 861/879, 589/343?

Answer: GCF of Numerators as per given numbers 39/132, 861/879, 589/343 is

GCF of Numerators i.e. for 39,861,589 is 1

LCM of denominators i.e. for 132,879,343 is 13265868.

Thus, GCF of Fractions is 1/13265868.Finally, GCF of Fractions for 39/132, 861/879, 589/343 is 1/13265868.