Greatest Common Factor of 425/312, 568/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 425/312, 568/213

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 425/312,568/213

Given fractions are 425/312,568/213

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 425,568

Greatest Common Factor of Numerators i.e. GCF of 425,568 is 1 .

LCM of Denominators means LCM of 312,213 as per the given fractions.

LCM of 312,213 is 22152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 425,568

GCF of Fractions 425/312,568/213 is 1/22152

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 425,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,568 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 425,568 . The biggest common factor number is the GCF number.
So the greatest common factor 425,568 is 1.

Lets's calculate LCM of 312,213

3 312, 213
104, 71

∴ So the LCM of the given numbers is 3 x 104 x 71 = 22152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22152

Therefore, the GCF of Fractions 425/312,568/213 is 1/22152

Least Common Multiple of 312,213 with GCF Formula

Least Common Multiple of 312,213 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 312,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,213) = 3

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

GCF(312,213) x common factors =3 x 1 = 3

LCM(312,213) = ( 312 × 213 ) / 3

LCM(312,213) = 66456 / 3

LCM(312,213) = 22152


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 425/312, 568/213

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 425/312, 568/213?

Answer: GCF of Numerators as per given numbers 425/312, 568/213 is

GCF of Numerators i.e. for 425,568 is 1

LCM of denominators i.e. for 312,213 is 22152.

Thus, GCF of Fractions is 1/22152.Finally, GCF of Fractions for 425/312, 568/213 is 1/22152.