Greatest Common Factor of 2092/381, 8925/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2092/381, 8925/834

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 2092/381,8925/834

Given fractions are 2092/381,8925/834

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 2092,8925

Greatest Common Factor of Numerators i.e. GCF of 2092,8925 is 1 .

LCM of Denominators means LCM of 381,834 as per the given fractions.

LCM of 381,834 is 105918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2092,8925

GCF of Fractions 2092/381,8925/834 is 1/105918

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

Greatest Common Factor of 2092,8925 By Matching Biggest Common Factor Method

Greatest Common Factor of 2092,8925 By Matching Biggest Common Factor Method

Factors of 2092

List of positive integer factors of 2092 that divides 2092 without a remainder.

1,2,4,523,1046,2092

Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Greatest Common Factor

We found the factors 2092,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 2092,8925 is 1.

Lets's calculate LCM of 381,834

3 381, 834
127, 278

∴ So the LCM of the given numbers is 3 x 127 x 278 = 105918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105918

Therefore, the GCF of Fractions 2092/381,8925/834 is 1/105918

Least Common Multiple of 381,834 with GCF Formula

Least Common Multiple of 381,834 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 381,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,834) = 3

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

GCF(381,834) x common factors =3 x 1 = 3

LCM(381,834) = ( 381 × 834 ) / 3

LCM(381,834) = 317754 / 3

LCM(381,834) = 105918


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 2092/381, 8925/834

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 2092/381, 8925/834?

Answer: GCF of Numerators as per given numbers 2092/381, 8925/834 is

GCF of Numerators i.e. for 2092,8925 is 1

LCM of denominators i.e. for 381,834 is 105918.

Thus, GCF of Fractions is 1/105918.Finally, GCF of Fractions for 2092/381, 8925/834 is 1/105918.