Greatest Common Factor of 8934/40, 3684/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8934/40, 3684/760

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 8934/40,3684/760

Given fractions are 8934/40,3684/760

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 8934,3684

Greatest Common Factor of Numerators i.e. GCF of 8934,3684 is 6 .

LCM of Denominators means LCM of 40,760 as per the given fractions.

LCM of 40,760 is 760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8934,3684

GCF of Fractions 8934/40,3684/760 is 6/760

2 8934, 3684
3 4467, 1842
1489, 614

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8934,3684 By Matching Biggest Common Factor Method

Greatest Common Factor of 8934,3684 By Matching Biggest Common Factor Method

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1,2,3,6,1489,2978,4467,8934

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1,2,3,4,6,12,307,614,921,1228,1842,3684

Greatest Common Factor

We found the factors 8934,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 8934,3684 is 6.

Lets's calculate LCM of 40,760

2 40, 760
2 20, 380
2 10, 190
5 5, 95
1, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 19 = 760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/760

Therefore, the GCF of Fractions 8934/40,3684/760 is 6/760

Least Common Multiple of 40,760 with GCF Formula

Least Common Multiple of 40,760 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 40,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,760) = 40

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

GCF(40,760) x common factors =40 x 1 = 40

LCM(40,760) = ( 40 × 760 ) / 40

LCM(40,760) = 30400 / 40

LCM(40,760) = 760


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 8934/40, 3684/760

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 8934/40, 3684/760?

Answer: GCF of Numerators as per given numbers 8934/40, 3684/760 is

GCF of Numerators i.e. for 8934,3684 is 6

LCM of denominators i.e. for 40,760 is 760.

Thus, GCF of Fractions is 6/760.Finally, GCF of Fractions for 8934/40, 3684/760 is 6/760.