Greatest Common Factor of 8649/944, 3762/1182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8649/944, 3762/1182

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 8649/944,3762/1182

Given fractions are 8649/944,3762/1182

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 8649,3762

Greatest Common Factor of Numerators i.e. GCF of 8649,3762 is 9 .

LCM of Denominators means LCM of 944,1182 as per the given fractions.

LCM of 944,1182 is 557904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8649,3762

GCF of Fractions 8649/944,3762/1182 is 9/557904

3 8649, 3762
3 2883, 1254
961, 418

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8649,3762 By Matching Biggest Common Factor Method

Greatest Common Factor of 8649,3762 By Matching Biggest Common Factor Method

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Greatest Common Factor

We found the factors 8649,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 8649,3762 is 9.

Lets's calculate LCM of 944,1182

2 944, 1182
472, 591

∴ So the LCM of the given numbers is 2 x 472 x 591 = 557904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/557904

Therefore, the GCF of Fractions 8649/944,3762/1182 is 9/557904

Least Common Multiple of 944,1182 with GCF Formula

Least Common Multiple of 944,1182 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 944,1182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,1182) = 2

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

GCF(944,1182) x common factors =2 x 1 = 2

LCM(944,1182) = ( 944 × 1182 ) / 2

LCM(944,1182) = 1115808 / 2

LCM(944,1182) = 557904


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 8649/944, 3762/1182

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 8649/944, 3762/1182?

Answer: GCF of Numerators as per given numbers 8649/944, 3762/1182 is

GCF of Numerators i.e. for 8649,3762 is 9

LCM of denominators i.e. for 944,1182 is 557904.

Thus, GCF of Fractions is 9/557904.Finally, GCF of Fractions for 8649/944, 3762/1182 is 9/557904.