Greatest Common Factor of 5224/211, 8222/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5224/211, 8222/336

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 5224/211,8222/336

Given fractions are 5224/211,8222/336

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 5224,8222

Greatest Common Factor of Numerators i.e. GCF of 5224,8222 is 2 .

LCM of Denominators means LCM of 211,336 as per the given fractions.

LCM of 211,336 is 70896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5224,8222

GCF of Fractions 5224/211,8222/336 is 2/70896

2 5224, 8222
2612, 4111

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

Greatest Common Factor of 5224,8222 By Matching Biggest Common Factor Method

Greatest Common Factor of 5224,8222 By Matching Biggest Common Factor Method

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1,2,4,8,653,1306,2612,5224

Factors of 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1,2,4111,8222

Greatest Common Factor

We found the factors 5224,8222 . The biggest common factor number is the GCF number.
So the greatest common factor 5224,8222 is 2.

Lets's calculate LCM of 211,336

Given numbers has no common factors except 1. So, there LCM is their product i.e 70896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70896

Therefore, the GCF of Fractions 5224/211,8222/336 is 2/70896

Least Common Multiple of 211,336 with GCF Formula

Least Common Multiple of 211,336 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 211,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,336) = 1

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

GCF(211,336) x common factors =1 x 1 = 1

LCM(211,336) = ( 211 × 336 ) / 1

LCM(211,336) = 70896 / 1

LCM(211,336) = 70896


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 5224/211, 8222/336

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 5224/211, 8222/336?

Answer: GCF of Numerators as per given numbers 5224/211, 8222/336 is

GCF of Numerators i.e. for 5224,8222 is 2

LCM of denominators i.e. for 211,336 is 70896.

Thus, GCF of Fractions is 2/70896.Finally, GCF of Fractions for 5224/211, 8222/336 is 2/70896.