Greatest Common Factor of 582/421, 8223/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 582/421, 8223/212

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 582/421,8223/212

Given fractions are 582/421,8223/212

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 582,8223

Greatest Common Factor of Numerators i.e. GCF of 582,8223 is 3 .

LCM of Denominators means LCM of 421,212 as per the given fractions.

LCM of 421,212 is 89252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 582,8223

GCF of Fractions 582/421,8223/212 is 3/89252

3 582, 8223
194, 2741

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 582,8223 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,8223 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1,3,2741,8223

Greatest Common Factor

We found the factors 582,8223 . The biggest common factor number is the GCF number.
So the greatest common factor 582,8223 is 3.

Lets's calculate LCM of 421,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 89252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89252

Therefore, the GCF of Fractions 582/421,8223/212 is 3/89252

Least Common Multiple of 421,212 with GCF Formula

Least Common Multiple of 421,212 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 421,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,212) = 1

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

GCF(421,212) x common factors =1 x 1 = 1

LCM(421,212) = ( 421 × 212 ) / 1

LCM(421,212) = 89252 / 1

LCM(421,212) = 89252


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 582/421, 8223/212

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 582/421, 8223/212?

Answer: GCF of Numerators as per given numbers 582/421, 8223/212 is

GCF of Numerators i.e. for 582,8223 is 3

LCM of denominators i.e. for 421,212 is 89252.

Thus, GCF of Fractions is 3/89252.Finally, GCF of Fractions for 582/421, 8223/212 is 3/89252.