Greatest Common Factor of 2330/382, 1615/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2330/382, 1615/790

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 2330/382,1615/790

Given fractions are 2330/382,1615/790

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 2330,1615

Greatest Common Factor of Numerators i.e. GCF of 2330,1615 is 5 .

LCM of Denominators means LCM of 382,790 as per the given fractions.

LCM of 382,790 is 150890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2330,1615

GCF of Fractions 2330/382,1615/790 is 5/150890

5 2330, 1615
466, 323

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2330,1615 By Matching Biggest Common Factor Method

Greatest Common Factor of 2330,1615 By Matching Biggest Common Factor Method

Factors of 2330

List of positive integer factors of 2330 that divides 2330 without a remainder.

1,2,5,10,233,466,1165,2330

Factors of 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 2330,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 2330,1615 is 5.

Lets's calculate LCM of 382,790

2 382, 790
191, 395

∴ So the LCM of the given numbers is 2 x 191 x 395 = 150890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/150890

Therefore, the GCF of Fractions 2330/382,1615/790 is 5/150890

Least Common Multiple of 382,790 with GCF Formula

Least Common Multiple of 382,790 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 382,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,790) = 2

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

GCF(382,790) x common factors =2 x 1 = 2

LCM(382,790) = ( 382 × 790 ) / 2

LCM(382,790) = 301780 / 2

LCM(382,790) = 150890


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 2330/382, 1615/790

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 2330/382, 1615/790?

Answer: GCF of Numerators as per given numbers 2330/382, 1615/790 is

GCF of Numerators i.e. for 2330,1615 is 5

LCM of denominators i.e. for 382,790 is 150890.

Thus, GCF of Fractions is 5/150890.Finally, GCF of Fractions for 2330/382, 1615/790 is 5/150890.