Greatest Common Factor of 9272/574, 5605/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9272/574, 5605/752

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 9272/574,5605/752

Given fractions are 9272/574,5605/752

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 9272,5605

Greatest Common Factor of Numerators i.e. GCF of 9272,5605 is 19 .

LCM of Denominators means LCM of 574,752 as per the given fractions.

LCM of 574,752 is 215824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9272,5605

GCF of Fractions 9272/574,5605/752 is 19/215824

19 9272, 5605
488, 295

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 9272,5605 By Matching Biggest Common Factor Method

Greatest Common Factor of 9272,5605 By Matching Biggest Common Factor Method

Factors of 9272

List of positive integer factors of 9272 that divides 9272 without a remainder.

1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272

Factors of 5605

List of positive integer factors of 5605 that divides 5605 without a remainder.

1,5,19,59,95,295,1121,5605

Greatest Common Factor

We found the factors 9272,5605 . The biggest common factor number is the GCF number.
So the greatest common factor 9272,5605 is 19.

Lets's calculate LCM of 574,752

2 574, 752
287, 376

∴ So the LCM of the given numbers is 2 x 287 x 376 = 215824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/215824

Therefore, the GCF of Fractions 9272/574,5605/752 is 19/215824

Least Common Multiple of 574,752 with GCF Formula

Least Common Multiple of 574,752 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 574,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,752) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(574,752) x common factors =2 x 1 = 2

LCM(574,752) = ( 574 × 752 ) / 2

LCM(574,752) = 431648 / 2

LCM(574,752) = 215824


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 9272/574, 5605/752

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 9272/574, 5605/752?

Answer: GCF of Numerators as per given numbers 9272/574, 5605/752 is

GCF of Numerators i.e. for 9272,5605 is 19

LCM of denominators i.e. for 574,752 is 215824.

Thus, GCF of Fractions is 19/215824.Finally, GCF of Fractions for 9272/574, 5605/752 is 19/215824.