Greatest Common Factor of 458/381, 1938/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/381, 1938/922

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 458/381,1938/922

Given fractions are 458/381,1938/922

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 458,1938

Greatest Common Factor of Numerators i.e. GCF of 458,1938 is 2 .

LCM of Denominators means LCM of 381,922 as per the given fractions.

LCM of 381,922 is 351282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,1938

GCF of Fractions 458/381,1938/922 is 2/351282

2 458, 1938
229, 969

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

Greatest Common Factor of 458,1938 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,1938 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938

Greatest Common Factor

We found the factors 458,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 458,1938 is 2.

Lets's calculate LCM of 381,922

Given numbers has no common factors except 1. So, there LCM is their product i.e 351282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/351282

Therefore, the GCF of Fractions 458/381,1938/922 is 2/351282

Least Common Multiple of 381,922 with GCF Formula

Least Common Multiple of 381,922 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 381,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,922) = 1

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

GCF(381,922) x common factors =1 x 1 = 1

LCM(381,922) = ( 381 × 922 ) / 1

LCM(381,922) = 351282 / 1

LCM(381,922) = 351282


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 458/381, 1938/922

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 458/381, 1938/922?

Answer: GCF of Numerators as per given numbers 458/381, 1938/922 is

GCF of Numerators i.e. for 458,1938 is 2

LCM of denominators i.e. for 381,922 is 351282.

Thus, GCF of Fractions is 2/351282.Finally, GCF of Fractions for 458/381, 1938/922 is 2/351282.