Greatest Common Factor of 229/57, 192/38, 971/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/57, 192/38, 971/72

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 229/57,192/38,971/72

Given fractions are 229/57,192/38,971/72

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 229,192,971

Greatest Common Factor of Numerators i.e. GCF of 229,192,971 is 1 .

LCM of Denominators means LCM of 57,38,72 as per the given fractions.

LCM of 57,38,72 is 1368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,192,971

GCF of Fractions 229/57,192/38,971/72 is 1/1368

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

Greatest Common Factor of 229,192,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,192,971 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 229,192,971 . The biggest common factor number is the GCF number.
So the greatest common factor 229,192,971 is 1.

Lets's calculate LCM of 57,38,72

2 57, 38, 72
3 57, 19, 36
19 19, 19, 12
1, 1, 12

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 1 x 12 = 1368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368

Therefore, the GCF of Fractions 229/57,192/38,971/72 is 1/1368

Least Common Multiple of 57,38,72 with GCF Formula

Least Common Multiple of 57,38,72 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 57,38,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,38,72) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(57,38,72) x common factors =1 x 114 = 114

LCM(57,38,72) = ( 57 × 38 × 72 ) / 114

LCM(57,38,72) = 155952 / 114

LCM(57,38,72) = 1368


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 229/57, 192/38, 971/72

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 229/57, 192/38, 971/72?

Answer: GCF of Numerators as per given numbers 229/57, 192/38, 971/72 is

GCF of Numerators i.e. for 229,192,971 is 1

LCM of denominators i.e. for 57,38,72 is 1368.

Thus, GCF of Fractions is 1/1368.Finally, GCF of Fractions for 229/57, 192/38, 971/72 is 1/1368.