Greatest Common Factor of 2037/379, 3395/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2037/379, 3395/176

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 2037/379,3395/176

Given fractions are 2037/379,3395/176

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 2037,3395

Greatest Common Factor of Numerators i.e. GCF of 2037,3395 is 679 .

LCM of Denominators means LCM of 379,176 as per the given fractions.

LCM of 379,176 is 66704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2037,3395

GCF of Fractions 2037/379,3395/176 is 679/66704

7 2037, 3395
97 291, 485
3, 5

∴ So the GCF of the given numbers is 7 x 97 = 679

Greatest Common Factor of 2037,3395 By Matching Biggest Common Factor Method

Greatest Common Factor of 2037,3395 By Matching Biggest Common Factor Method

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1,3,7,21,97,291,679,2037

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1,5,7,35,97,485,679,3395

Greatest Common Factor

We found the factors 2037,3395 . The biggest common factor number is the GCF number.
So the greatest common factor 2037,3395 is 679.

Lets's calculate LCM of 379,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 66704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 679/66704

Therefore, the GCF of Fractions 2037/379,3395/176 is 679/66704

Least Common Multiple of 379,176 with GCF Formula

Least Common Multiple of 379,176 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 379,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,176) = 1

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

GCF(379,176) x common factors =1 x 1 = 1

LCM(379,176) = ( 379 × 176 ) / 1

LCM(379,176) = 66704 / 1

LCM(379,176) = 66704


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 2037/379, 3395/176

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 2037/379, 3395/176?

Answer: GCF of Numerators as per given numbers 2037/379, 3395/176 is

GCF of Numerators i.e. for 2037,3395 is 679

LCM of denominators i.e. for 379,176 is 66704.

Thus, GCF of Fractions is 679/66704.Finally, GCF of Fractions for 2037/379, 3395/176 is 679/66704.