Greatest Common Factor of 8856/187, 7044/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8856/187, 7044/726

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 8856/187,7044/726

Given fractions are 8856/187,7044/726

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 8856,7044

Greatest Common Factor of Numerators i.e. GCF of 8856,7044 is 12 .

LCM of Denominators means LCM of 187,726 as per the given fractions.

LCM of 187,726 is 12342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8856,7044

GCF of Fractions 8856/187,7044/726 is 12/12342

2 8856, 7044
2 4428, 3522
3 2214, 1761
738, 587

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8856,7044 By Matching Biggest Common Factor Method

Greatest Common Factor of 8856,7044 By Matching Biggest Common Factor Method

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1,2,3,4,6,12,587,1174,1761,2348,3522,7044

Greatest Common Factor

We found the factors 8856,7044 . The biggest common factor number is the GCF number.
So the greatest common factor 8856,7044 is 12.

Lets's calculate LCM of 187,726

11 187, 726
17, 66

∴ So the LCM of the given numbers is 11 x 17 x 66 = 12342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12342

Therefore, the GCF of Fractions 8856/187,7044/726 is 12/12342

Least Common Multiple of 187,726 with GCF Formula

Least Common Multiple of 187,726 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 187,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,726) = 11

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

GCF(187,726) x common factors =11 x 1 = 11

LCM(187,726) = ( 187 × 726 ) / 11

LCM(187,726) = 135762 / 11

LCM(187,726) = 12342


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 8856/187, 7044/726

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 8856/187, 7044/726?

Answer: GCF of Numerators as per given numbers 8856/187, 7044/726 is

GCF of Numerators i.e. for 8856,7044 is 12

LCM of denominators i.e. for 187,726 is 12342.

Thus, GCF of Fractions is 12/12342.Finally, GCF of Fractions for 8856/187, 7044/726 is 12/12342.