Greatest Common Factor of 228/167, 306/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 228/167, 306/212

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 228/167,306/212

Given fractions are 228/167,306/212

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 228,306

Greatest Common Factor of Numerators i.e. GCF of 228,306 is 6 .

LCM of Denominators means LCM of 167,212 as per the given fractions.

LCM of 167,212 is 35404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 228,306

GCF of Fractions 228/167,306/212 is 6/35404

2 228, 306
3 114, 153
38, 51

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

Greatest Common Factor of 228,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,306 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 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 228,306 . The biggest common factor number is the GCF number.
So the greatest common factor 228,306 is 6.

Lets's calculate LCM of 167,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 35404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/35404

Therefore, the GCF of Fractions 228/167,306/212 is 6/35404

Least Common Multiple of 167,212 with GCF Formula

Least Common Multiple of 167,212 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 167,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,212) = 1

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

GCF(167,212) x common factors =1 x 1 = 1

LCM(167,212) = ( 167 × 212 ) / 1

LCM(167,212) = 35404 / 1

LCM(167,212) = 35404


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 228/167, 306/212

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 228/167, 306/212?

Answer: GCF of Numerators as per given numbers 228/167, 306/212 is

GCF of Numerators i.e. for 228,306 is 6

LCM of denominators i.e. for 167,212 is 35404.

Thus, GCF of Fractions is 6/35404.Finally, GCF of Fractions for 228/167, 306/212 is 6/35404.