Greatest Common Factor of 9272/93, 5642/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9272/93, 5642/747

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 9272/93,5642/747

Given fractions are 9272/93,5642/747

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 9272,5642

Greatest Common Factor of Numerators i.e. GCF of 9272,5642 is 2 .

LCM of Denominators means LCM of 93,747 as per the given fractions.

LCM of 93,747 is 23157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9272,5642

GCF of Fractions 9272/93,5642/747 is 2/23157

2 9272, 5642
4636, 2821

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9272,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 9272,5642 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 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 9272,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 9272,5642 is 2.

Lets's calculate LCM of 93,747

3 93, 747
31, 249

∴ So the LCM of the given numbers is 3 x 31 x 249 = 23157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23157

Therefore, the GCF of Fractions 9272/93,5642/747 is 2/23157

Least Common Multiple of 93,747 with GCF Formula

Least Common Multiple of 93,747 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 93,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,747) = 3

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

GCF(93,747) x common factors =3 x 1 = 3

LCM(93,747) = ( 93 × 747 ) / 3

LCM(93,747) = 69471 / 3

LCM(93,747) = 23157


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 9272/93, 5642/747

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 9272/93, 5642/747?

Answer: GCF of Numerators as per given numbers 9272/93, 5642/747 is

GCF of Numerators i.e. for 9272,5642 is 2

LCM of denominators i.e. for 93,747 is 23157.

Thus, GCF of Fractions is 2/23157.Finally, GCF of Fractions for 9272/93, 5642/747 is 2/23157.