Greatest Common Factor of 8786/351, 1844/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8786/351, 1844/312

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 8786/351,1844/312

Given fractions are 8786/351,1844/312

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 8786,1844

Greatest Common Factor of Numerators i.e. GCF of 8786,1844 is 2 .

LCM of Denominators means LCM of 351,312 as per the given fractions.

LCM of 351,312 is 2808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8786,1844

GCF of Fractions 8786/351,1844/312 is 2/2808

2 8786, 1844
4393, 922

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

Greatest Common Factor of 8786,1844 By Matching Biggest Common Factor Method

Greatest Common Factor of 8786,1844 By Matching Biggest Common Factor Method

Factors of 8786

List of positive integer factors of 8786 that divides 8786 without a remainder.

1,2,23,46,191,382,4393,8786

Factors of 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1,2,4,461,922,1844

Greatest Common Factor

We found the factors 8786,1844 . The biggest common factor number is the GCF number.
So the greatest common factor 8786,1844 is 2.

Lets's calculate LCM of 351,312

3 351, 312
13 117, 104
9, 8

∴ So the LCM of the given numbers is 3 x 13 x 9 x 8 = 2808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2808

Therefore, the GCF of Fractions 8786/351,1844/312 is 2/2808

Least Common Multiple of 351,312 with GCF Formula

Least Common Multiple of 351,312 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 351,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,312) = 39

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

GCF(351,312) x common factors =39 x 1 = 39

LCM(351,312) = ( 351 × 312 ) / 39

LCM(351,312) = 109512 / 39

LCM(351,312) = 2808


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 8786/351, 1844/312

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 8786/351, 1844/312?

Answer: GCF of Numerators as per given numbers 8786/351, 1844/312 is

GCF of Numerators i.e. for 8786,1844 is 2

LCM of denominators i.e. for 351,312 is 2808.

Thus, GCF of Fractions is 2/2808.Finally, GCF of Fractions for 8786/351, 1844/312 is 2/2808.