Greatest Common Factor of 228/317, 4122/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 228/317, 4122/892

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 228/317,4122/892

Given fractions are 228/317,4122/892

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 228,4122

Greatest Common Factor of Numerators i.e. GCF of 228,4122 is 6 .

LCM of Denominators means LCM of 317,892 as per the given fractions.

LCM of 317,892 is 282764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 228,4122

GCF of Fractions 228/317,4122/892 is 6/282764

2 228, 4122
3 114, 2061
38, 687

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 228,4122 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,4122 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 228,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 228,4122 is 6.

Lets's calculate LCM of 317,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 282764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/282764

Therefore, the GCF of Fractions 228/317,4122/892 is 6/282764

Least Common Multiple of 317,892 with GCF Formula

Least Common Multiple of 317,892 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 317,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,892) = 1

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

GCF(317,892) x common factors =1 x 1 = 1

LCM(317,892) = ( 317 × 892 ) / 1

LCM(317,892) = 282764 / 1

LCM(317,892) = 282764


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 228/317, 4122/892

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 228/317, 4122/892?

Answer: GCF of Numerators as per given numbers 228/317, 4122/892 is

GCF of Numerators i.e. for 228,4122 is 6

LCM of denominators i.e. for 317,892 is 282764.

Thus, GCF of Fractions is 6/282764.Finally, GCF of Fractions for 228/317, 4122/892 is 6/282764.