Greatest Common Factor of 39/338, 269/358, 883/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/338, 269/358, 883/430

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 39/338,269/358,883/430

Given fractions are 39/338,269/358,883/430

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 39,269,883

Greatest Common Factor of Numerators i.e. GCF of 39,269,883 is 1 .

LCM of Denominators means LCM of 338,358,430 as per the given fractions.

LCM of 338,358,430 is 13007930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,269,883

GCF of Fractions 39/338,269/358,883/430 is 1/13007930

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

Greatest Common Factor of 39,269,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,269,883 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 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 39,269,883 . The biggest common factor number is the GCF number.
So the greatest common factor 39,269,883 is 1.

Lets's calculate LCM of 338,358,430

2 338, 358, 430
169, 179, 215

∴ So the LCM of the given numbers is 2 x 169 x 179 x 215 = 13007930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13007930

Therefore, the GCF of Fractions 39/338,269/358,883/430 is 1/13007930

Least Common Multiple of 338,358,430 with GCF Formula

Least Common Multiple of 338,358,430 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 338,358,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,358,430) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(338,358,430) x common factors =2 x 2 = 4

LCM(338,358,430) = ( 338 × 358 × 430 ) / 4

LCM(338,358,430) = 52031720 / 4

LCM(338,358,430) = 13007930


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 39/338, 269/358, 883/430

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 39/338, 269/358, 883/430?

Answer: GCF of Numerators as per given numbers 39/338, 269/358, 883/430 is

GCF of Numerators i.e. for 39,269,883 is 1

LCM of denominators i.e. for 338,358,430 is 13007930.

Thus, GCF of Fractions is 1/13007930.Finally, GCF of Fractions for 39/338, 269/358, 883/430 is 1/13007930.