Greatest Common Factor of 3105/239, 2920/7146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3105/239, 2920/7146

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 3105/239,2920/7146

Given fractions are 3105/239,2920/7146

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 3105,2920

Greatest Common Factor of Numerators i.e. GCF of 3105,2920 is 5 .

LCM of Denominators means LCM of 239,7146 as per the given fractions.

LCM of 239,7146 is 1707894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3105,2920

GCF of Fractions 3105/239,2920/7146 is 5/1707894

5 3105, 2920
621, 584

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

Greatest Common Factor of 3105,2920 By Matching Biggest Common Factor Method

Greatest Common Factor of 3105,2920 By Matching Biggest Common Factor Method

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105

Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920

Greatest Common Factor

We found the factors 3105,2920 . The biggest common factor number is the GCF number.
So the greatest common factor 3105,2920 is 5.

Lets's calculate LCM of 239,7146

Given numbers has no common factors except 1. So, there LCM is their product i.e 1707894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1707894

Therefore, the GCF of Fractions 3105/239,2920/7146 is 5/1707894

Least Common Multiple of 239,7146 with GCF Formula

Least Common Multiple of 239,7146 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 239,7146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,7146) = 1

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

GCF(239,7146) x common factors =1 x 1 = 1

LCM(239,7146) = ( 239 × 7146 ) / 1

LCM(239,7146) = 1707894 / 1

LCM(239,7146) = 1707894


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 3105/239, 2920/7146

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 3105/239, 2920/7146?

Answer: GCF of Numerators as per given numbers 3105/239, 2920/7146 is

GCF of Numerators i.e. for 3105,2920 is 5

LCM of denominators i.e. for 239,7146 is 1707894.

Thus, GCF of Fractions is 5/1707894.Finally, GCF of Fractions for 3105/239, 2920/7146 is 5/1707894.