Greatest Common Factor of 384/647, 8796/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/647, 8796/880

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 384/647,8796/880

Given fractions are 384/647,8796/880

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 384,8796

Greatest Common Factor of Numerators i.e. GCF of 384,8796 is 12 .

LCM of Denominators means LCM of 647,880 as per the given fractions.

LCM of 647,880 is 569360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,8796

GCF of Fractions 384/647,8796/880 is 12/569360

2 384, 8796
2 192, 4398
3 96, 2199
32, 733

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

Greatest Common Factor of 384,8796 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,8796 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 8796

List of positive integer factors of 8796 that divides 8796 without a remainder.

1,2,3,4,6,12,733,1466,2199,2932,4398,8796

Greatest Common Factor

We found the factors 384,8796 . The biggest common factor number is the GCF number.
So the greatest common factor 384,8796 is 12.

Lets's calculate LCM of 647,880

Given numbers has no common factors except 1. So, there LCM is their product i.e 569360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/569360

Therefore, the GCF of Fractions 384/647,8796/880 is 12/569360

Least Common Multiple of 647,880 with GCF Formula

Least Common Multiple of 647,880 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 647,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,880) = 1

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

GCF(647,880) x common factors =1 x 1 = 1

LCM(647,880) = ( 647 × 880 ) / 1

LCM(647,880) = 569360 / 1

LCM(647,880) = 569360


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 384/647, 8796/880

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 384/647, 8796/880?

Answer: GCF of Numerators as per given numbers 384/647, 8796/880 is

GCF of Numerators i.e. for 384,8796 is 12

LCM of denominators i.e. for 647,880 is 569360.

Thus, GCF of Fractions is 12/569360.Finally, GCF of Fractions for 384/647, 8796/880 is 12/569360.