Greatest Common Factor of 565/829, 914/952, 408/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/829, 914/952, 408/724

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 565/829,914/952,408/724

Given fractions are 565/829,914/952,408/724

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 565,914,408

Greatest Common Factor of Numerators i.e. GCF of 565,914,408 is 1 .

LCM of Denominators means LCM of 829,952,724 as per the given fractions.

LCM of 829,952,724 is 142846648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,914,408

GCF of Fractions 565/829,914/952,408/724 is 1/142846648

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

Greatest Common Factor of 565,914,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,914,408 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 565,914,408 . The biggest common factor number is the GCF number.
So the greatest common factor 565,914,408 is 1.

Lets's calculate LCM of 829,952,724

2 829, 952, 724
2 829, 476, 362
829, 238, 181

∴ So the LCM of the given numbers is 2 x 2 x 829 x 238 x 181 = 142846648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142846648

Therefore, the GCF of Fractions 565/829,914/952,408/724 is 1/142846648

Least Common Multiple of 829,952,724 with GCF Formula

Least Common Multiple of 829,952,724 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 829,952,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,952,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(829,952,724) x common factors =1 x 4 = 4

LCM(829,952,724) = ( 829 × 952 × 724 ) / 4

LCM(829,952,724) = 571386592 / 4

LCM(829,952,724) = 142846648


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 565/829, 914/952, 408/724

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 565/829, 914/952, 408/724?

Answer: GCF of Numerators as per given numbers 565/829, 914/952, 408/724 is

GCF of Numerators i.e. for 565,914,408 is 1

LCM of denominators i.e. for 829,952,724 is 142846648.

Thus, GCF of Fractions is 1/142846648.Finally, GCF of Fractions for 565/829, 914/952, 408/724 is 1/142846648.