Greatest Common Factor of 8516/96, 8218/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8516/96, 8218/224

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 8516/96,8218/224

Given fractions are 8516/96,8218/224

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 8516,8218

Greatest Common Factor of Numerators i.e. GCF of 8516,8218 is 2 .

LCM of Denominators means LCM of 96,224 as per the given fractions.

LCM of 96,224 is 672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8516,8218

GCF of Fractions 8516/96,8218/224 is 2/672

2 8516, 8218
4258, 4109

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

Greatest Common Factor of 8516,8218 By Matching Biggest Common Factor Method

Greatest Common Factor of 8516,8218 By Matching Biggest Common Factor Method

Factors of 8516

List of positive integer factors of 8516 that divides 8516 without a remainder.

1,2,4,2129,4258,8516

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1,2,7,14,587,1174,4109,8218

Greatest Common Factor

We found the factors 8516,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 8516,8218 is 2.

Lets's calculate LCM of 96,224

2 96, 224
2 48, 112
2 24, 56
2 12, 28
2 6, 14
3, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 = 672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/672

Therefore, the GCF of Fractions 8516/96,8218/224 is 2/672

Least Common Multiple of 96,224 with GCF Formula

Least Common Multiple of 96,224 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 96,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,224) = 32

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

GCF(96,224) x common factors =32 x 1 = 32

LCM(96,224) = ( 96 × 224 ) / 32

LCM(96,224) = 21504 / 32

LCM(96,224) = 672


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 8516/96, 8218/224

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 8516/96, 8218/224?

Answer: GCF of Numerators as per given numbers 8516/96, 8218/224 is

GCF of Numerators i.e. for 8516,8218 is 2

LCM of denominators i.e. for 96,224 is 672.

Thus, GCF of Fractions is 2/672.Finally, GCF of Fractions for 8516/96, 8218/224 is 2/672.