Greatest Common Factor of 8224/666, 9284/2414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8224/666, 9284/2414

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 8224/666,9284/2414

Given fractions are 8224/666,9284/2414

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 8224,9284

Greatest Common Factor of Numerators i.e. GCF of 8224,9284 is 4 .

LCM of Denominators means LCM of 666,2414 as per the given fractions.

LCM of 666,2414 is 803862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8224,9284

GCF of Fractions 8224/666,9284/2414 is 4/803862

2 8224, 9284
2 4112, 4642
2056, 2321

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8224,9284 By Matching Biggest Common Factor Method

Greatest Common Factor of 8224,9284 By Matching Biggest Common Factor Method

Factors of 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1,2,4,8,16,32,257,514,1028,2056,4112,8224

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Greatest Common Factor

We found the factors 8224,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,9284 is 4.

Lets's calculate LCM of 666,2414

2 666, 2414
333, 1207

∴ So the LCM of the given numbers is 2 x 333 x 1207 = 803862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/803862

Therefore, the GCF of Fractions 8224/666,9284/2414 is 4/803862

Least Common Multiple of 666,2414 with GCF Formula

Least Common Multiple of 666,2414 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 666,2414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,2414) = 2

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

GCF(666,2414) x common factors =2 x 1 = 2

LCM(666,2414) = ( 666 × 2414 ) / 2

LCM(666,2414) = 1607724 / 2

LCM(666,2414) = 803862


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 8224/666, 9284/2414

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 8224/666, 9284/2414?

Answer: GCF of Numerators as per given numbers 8224/666, 9284/2414 is

GCF of Numerators i.e. for 8224,9284 is 4

LCM of denominators i.e. for 666,2414 is 803862.

Thus, GCF of Fractions is 4/803862.Finally, GCF of Fractions for 8224/666, 9284/2414 is 4/803862.