Greatest Common Factor of 228/186, 7054/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 228/186, 7054/818

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 228/186,7054/818

Given fractions are 228/186,7054/818

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 228,7054

Greatest Common Factor of Numerators i.e. GCF of 228,7054 is 2 .

LCM of Denominators means LCM of 186,818 as per the given fractions.

LCM of 186,818 is 76074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 228,7054

GCF of Fractions 228/186,7054/818 is 2/76074

2 228, 7054
114, 3527

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

Greatest Common Factor of 228,7054 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,7054 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 7054

List of positive integer factors of 7054 that divides 7054 without a remainder.

1,2,3527,7054

Greatest Common Factor

We found the factors 228,7054 . The biggest common factor number is the GCF number.
So the greatest common factor 228,7054 is 2.

Lets's calculate LCM of 186,818

2 186, 818
93, 409

∴ So the LCM of the given numbers is 2 x 93 x 409 = 76074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76074

Therefore, the GCF of Fractions 228/186,7054/818 is 2/76074

Least Common Multiple of 186,818 with GCF Formula

Least Common Multiple of 186,818 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 186,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,818) = 2

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

GCF(186,818) x common factors =2 x 1 = 2

LCM(186,818) = ( 186 × 818 ) / 2

LCM(186,818) = 152148 / 2

LCM(186,818) = 76074


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 228/186, 7054/818

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 228/186, 7054/818?

Answer: GCF of Numerators as per given numbers 228/186, 7054/818 is

GCF of Numerators i.e. for 228,7054 is 2

LCM of denominators i.e. for 186,818 is 76074.

Thus, GCF of Fractions is 2/76074.Finally, GCF of Fractions for 228/186, 7054/818 is 2/76074.