Greatest Common Factor of 8720/27, 9336/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8720/27, 9336/534

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 8720/27,9336/534

Given fractions are 8720/27,9336/534

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 8720,9336

Greatest Common Factor of Numerators i.e. GCF of 8720,9336 is 8 .

LCM of Denominators means LCM of 27,534 as per the given fractions.

LCM of 27,534 is 4806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8720,9336

GCF of Fractions 8720/27,9336/534 is 8/4806

2 8720, 9336
2 4360, 4668
2 2180, 2334
1090, 1167

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8720,9336 By Matching Biggest Common Factor Method

Greatest Common Factor of 8720,9336 By Matching Biggest Common Factor Method

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336

Greatest Common Factor

We found the factors 8720,9336 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,9336 is 8.

Lets's calculate LCM of 27,534

3 27, 534
9, 178

∴ So the LCM of the given numbers is 3 x 9 x 178 = 4806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4806

Therefore, the GCF of Fractions 8720/27,9336/534 is 8/4806

Least Common Multiple of 27,534 with GCF Formula

Least Common Multiple of 27,534 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 27,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,534) = 3

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

GCF(27,534) x common factors =3 x 1 = 3

LCM(27,534) = ( 27 × 534 ) / 3

LCM(27,534) = 14418 / 3

LCM(27,534) = 4806


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 8720/27, 9336/534

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 8720/27, 9336/534?

Answer: GCF of Numerators as per given numbers 8720/27, 9336/534 is

GCF of Numerators i.e. for 8720,9336 is 8

LCM of denominators i.e. for 27,534 is 4806.

Thus, GCF of Fractions is 8/4806.Finally, GCF of Fractions for 8720/27, 9336/534 is 8/4806.