Greatest Common Factor of 9243/931, 8673/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9243/931, 8673/945

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 9243/931,8673/945

Given fractions are 9243/931,8673/945

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 9243,8673

Greatest Common Factor of Numerators i.e. GCF of 9243,8673 is 3 .

LCM of Denominators means LCM of 931,945 as per the given fractions.

LCM of 931,945 is 125685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9243,8673

GCF of Fractions 9243/931,8673/945 is 3/125685

3 9243, 8673
3081, 2891

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9243,8673 By Matching Biggest Common Factor Method

Greatest Common Factor of 9243,8673 By Matching Biggest Common Factor Method

Factors of 9243

List of positive integer factors of 9243 that divides 9243 without a remainder.

1,3,9,13,39,79,117,237,711,1027,3081,9243

Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1,3,7,21,49,59,147,177,413,1239,2891,8673

Greatest Common Factor

We found the factors 9243,8673 . The biggest common factor number is the GCF number.
So the greatest common factor 9243,8673 is 3.

Lets's calculate LCM of 931,945

7 931, 945
133, 135

∴ So the LCM of the given numbers is 7 x 133 x 135 = 125685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/125685

Therefore, the GCF of Fractions 9243/931,8673/945 is 3/125685

Least Common Multiple of 931,945 with GCF Formula

Least Common Multiple of 931,945 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 931,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,945) = 7

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

GCF(931,945) x common factors =7 x 1 = 7

LCM(931,945) = ( 931 × 945 ) / 7

LCM(931,945) = 879795 / 7

LCM(931,945) = 125685


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 9243/931, 8673/945

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 9243/931, 8673/945?

Answer: GCF of Numerators as per given numbers 9243/931, 8673/945 is

GCF of Numerators i.e. for 9243,8673 is 3

LCM of denominators i.e. for 931,945 is 125685.

Thus, GCF of Fractions is 3/125685.Finally, GCF of Fractions for 9243/931, 8673/945 is 3/125685.