Greatest Common Factor of 5718/354, 2245/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5718/354, 2245/228

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 5718/354,2245/228

Given fractions are 5718/354,2245/228

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 5718,2245

Greatest Common Factor of Numerators i.e. GCF of 5718,2245 is 1 .

LCM of Denominators means LCM of 354,228 as per the given fractions.

LCM of 354,228 is 13452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5718,2245

GCF of Fractions 5718/354,2245/228 is 1/13452

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

Greatest Common Factor of 5718,2245 By Matching Biggest Common Factor Method

Greatest Common Factor of 5718,2245 By Matching Biggest Common Factor Method

Factors of 5718

List of positive integer factors of 5718 that divides 5718 without a remainder.

1,2,3,6,953,1906,2859,5718

Factors of 2245

List of positive integer factors of 2245 that divides 2245 without a remainder.

1,5,449,2245

Greatest Common Factor

We found the factors 5718,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 5718,2245 is 1.

Lets's calculate LCM of 354,228

2 354, 228
3 177, 114
59, 38

∴ So the LCM of the given numbers is 2 x 3 x 59 x 38 = 13452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13452

Therefore, the GCF of Fractions 5718/354,2245/228 is 1/13452

Least Common Multiple of 354,228 with GCF Formula

Least Common Multiple of 354,228 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 354,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,228) = 6

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

GCF(354,228) x common factors =6 x 1 = 6

LCM(354,228) = ( 354 × 228 ) / 6

LCM(354,228) = 80712 / 6

LCM(354,228) = 13452


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 5718/354, 2245/228

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 5718/354, 2245/228?

Answer: GCF of Numerators as per given numbers 5718/354, 2245/228 is

GCF of Numerators i.e. for 5718,2245 is 1

LCM of denominators i.e. for 354,228 is 13452.

Thus, GCF of Fractions is 1/13452.Finally, GCF of Fractions for 5718/354, 2245/228 is 1/13452.