Greatest Common Factor of 368/381, 114/102, 997/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 368/381, 114/102, 997/906

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 368/381,114/102,997/906

Given fractions are 368/381,114/102,997/906

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 368,114,997

Greatest Common Factor of Numerators i.e. GCF of 368,114,997 is 1 .

LCM of Denominators means LCM of 381,102,906 as per the given fractions.

LCM of 381,102,906 is 1956054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 368,114,997

GCF of Fractions 368/381,114/102,997/906 is 1/1956054

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

Greatest Common Factor of 368,114,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,114,997 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 368,114,997 . The biggest common factor number is the GCF number.
So the greatest common factor 368,114,997 is 1.

Lets's calculate LCM of 381,102,906

2 381, 102, 906
3 381, 51, 453
127, 17, 151

∴ So the LCM of the given numbers is 2 x 3 x 127 x 17 x 151 = 1956054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1956054

Therefore, the GCF of Fractions 368/381,114/102,997/906 is 1/1956054

Least Common Multiple of 381,102,906 with GCF Formula

Least Common Multiple of 381,102,906 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 381,102,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,102,906) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(381,102,906) x common factors =3 x 6 = 18

LCM(381,102,906) = ( 381 × 102 × 906 ) / 18

LCM(381,102,906) = 35208972 / 18

LCM(381,102,906) = 1956054


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 368/381, 114/102, 997/906

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 368/381, 114/102, 997/906?

Answer: GCF of Numerators as per given numbers 368/381, 114/102, 997/906 is

GCF of Numerators i.e. for 368,114,997 is 1

LCM of denominators i.e. for 381,102,906 is 1956054.

Thus, GCF of Fractions is 1/1956054.Finally, GCF of Fractions for 368/381, 114/102, 997/906 is 1/1956054.