Greatest Common Factor of 8784/490, 9888/1284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8784/490, 9888/1284

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 8784/490,9888/1284

Given fractions are 8784/490,9888/1284

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 8784,9888

Greatest Common Factor of Numerators i.e. GCF of 8784,9888 is 48 .

LCM of Denominators means LCM of 490,1284 as per the given fractions.

LCM of 490,1284 is 314580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8784,9888

GCF of Fractions 8784/490,9888/1284 is 48/314580

2 8784, 9888
2 4392, 4944
2 2196, 2472
2 1098, 1236
3 549, 618
183, 206

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 8784,9888 By Matching Biggest Common Factor Method

Greatest Common Factor of 8784,9888 By Matching Biggest Common Factor Method

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Greatest Common Factor

We found the factors 8784,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,9888 is 48.

Lets's calculate LCM of 490,1284

2 490, 1284
245, 642

∴ So the LCM of the given numbers is 2 x 245 x 642 = 314580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/314580

Therefore, the GCF of Fractions 8784/490,9888/1284 is 48/314580

Least Common Multiple of 490,1284 with GCF Formula

Least Common Multiple of 490,1284 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 490,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,1284) = 2

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

GCF(490,1284) x common factors =2 x 1 = 2

LCM(490,1284) = ( 490 × 1284 ) / 2

LCM(490,1284) = 629160 / 2

LCM(490,1284) = 314580


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 8784/490, 9888/1284

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 8784/490, 9888/1284?

Answer: GCF of Numerators as per given numbers 8784/490, 9888/1284 is

GCF of Numerators i.e. for 8784,9888 is 48

LCM of denominators i.e. for 490,1284 is 314580.

Thus, GCF of Fractions is 48/314580.Finally, GCF of Fractions for 8784/490, 9888/1284 is 48/314580.