Greatest Common Factor of 3081/865, 1740/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3081/865, 1740/214

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 3081/865,1740/214

Given fractions are 3081/865,1740/214

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 3081,1740

Greatest Common Factor of Numerators i.e. GCF of 3081,1740 is 3 .

LCM of Denominators means LCM of 865,214 as per the given fractions.

LCM of 865,214 is 185110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3081,1740

GCF of Fractions 3081/865,1740/214 is 3/185110

3 3081, 1740
1027, 580

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3081,1740 By Matching Biggest Common Factor Method

Greatest Common Factor of 3081,1740 By Matching Biggest Common Factor Method

Factors of 3081

List of positive integer factors of 3081 that divides 3081 without a remainder.

1,3,13,39,79,237,1027,3081

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740

Greatest Common Factor

We found the factors 3081,1740 . The biggest common factor number is the GCF number.
So the greatest common factor 3081,1740 is 3.

Lets's calculate LCM of 865,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 185110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/185110

Therefore, the GCF of Fractions 3081/865,1740/214 is 3/185110

Least Common Multiple of 865,214 with GCF Formula

Least Common Multiple of 865,214 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 865,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,214) = 1

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

GCF(865,214) x common factors =1 x 1 = 1

LCM(865,214) = ( 865 × 214 ) / 1

LCM(865,214) = 185110 / 1

LCM(865,214) = 185110


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 3081/865, 1740/214

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 3081/865, 1740/214?

Answer: GCF of Numerators as per given numbers 3081/865, 1740/214 is

GCF of Numerators i.e. for 3081,1740 is 3

LCM of denominators i.e. for 865,214 is 185110.

Thus, GCF of Fractions is 3/185110.Finally, GCF of Fractions for 3081/865, 1740/214 is 3/185110.