Greatest Common Factor of 605/638, 943/336, 725/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/638, 943/336, 725/828

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 605/638,943/336,725/828

Given fractions are 605/638,943/336,725/828

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 605,943,725

Greatest Common Factor of Numerators i.e. GCF of 605,943,725 is 1 .

LCM of Denominators means LCM of 638,336,828 as per the given fractions.

LCM of 638,336,828 is 7395696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,943,725

GCF of Fractions 605/638,943/336,725/828 is 1/7395696

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

Greatest Common Factor of 605,943,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,943,725 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 605,943,725 . The biggest common factor number is the GCF number.
So the greatest common factor 605,943,725 is 1.

Lets's calculate LCM of 638,336,828

2 638, 336, 828
2 319, 168, 414
3 319, 84, 207
319, 28, 69

∴ So the LCM of the given numbers is 2 x 2 x 3 x 319 x 28 x 69 = 7395696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7395696

Therefore, the GCF of Fractions 605/638,943/336,725/828 is 1/7395696

Least Common Multiple of 638,336,828 with GCF Formula

Least Common Multiple of 638,336,828 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 638,336,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,336,828) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(638,336,828) x common factors =2 x 12 = 24

LCM(638,336,828) = ( 638 × 336 × 828 ) / 24

LCM(638,336,828) = 177496704 / 24

LCM(638,336,828) = 7395696


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 605/638, 943/336, 725/828

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 605/638, 943/336, 725/828?

Answer: GCF of Numerators as per given numbers 605/638, 943/336, 725/828 is

GCF of Numerators i.e. for 605,943,725 is 1

LCM of denominators i.e. for 638,336,828 is 7395696.

Thus, GCF of Fractions is 1/7395696.Finally, GCF of Fractions for 605/638, 943/336, 725/828 is 1/7395696.