Greatest Common Factor of 3815/308, 2373/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3815/308, 2373/454

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 3815/308,2373/454

Given fractions are 3815/308,2373/454

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 3815,2373

Greatest Common Factor of Numerators i.e. GCF of 3815,2373 is 7 .

LCM of Denominators means LCM of 308,454 as per the given fractions.

LCM of 308,454 is 69916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3815,2373

GCF of Fractions 3815/308,2373/454 is 7/69916

7 3815, 2373
545, 339

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3815,2373 By Matching Biggest Common Factor Method

Greatest Common Factor of 3815,2373 By Matching Biggest Common Factor Method

Factors of 3815

List of positive integer factors of 3815 that divides 3815 without a remainder.

1,5,7,35,109,545,763,3815

Factors of 2373

List of positive integer factors of 2373 that divides 2373 without a remainder.

1,3,7,21,113,339,791,2373

Greatest Common Factor

We found the factors 3815,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 3815,2373 is 7.

Lets's calculate LCM of 308,454

2 308, 454
154, 227

∴ So the LCM of the given numbers is 2 x 154 x 227 = 69916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/69916

Therefore, the GCF of Fractions 3815/308,2373/454 is 7/69916

Least Common Multiple of 308,454 with GCF Formula

Least Common Multiple of 308,454 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 308,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,454) = 2

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

GCF(308,454) x common factors =2 x 1 = 2

LCM(308,454) = ( 308 × 454 ) / 2

LCM(308,454) = 139832 / 2

LCM(308,454) = 69916


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 3815/308, 2373/454

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 3815/308, 2373/454?

Answer: GCF of Numerators as per given numbers 3815/308, 2373/454 is

GCF of Numerators i.e. for 3815,2373 is 7

LCM of denominators i.e. for 308,454 is 69916.

Thus, GCF of Fractions is 7/69916.Finally, GCF of Fractions for 3815/308, 2373/454 is 7/69916.