Greatest Common Factor of 83/620, 6540/2834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/620, 6540/2834

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 83/620,6540/2834

Given fractions are 83/620,6540/2834

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 83,6540

Greatest Common Factor of Numerators i.e. GCF of 83,6540 is 1 .

LCM of Denominators means LCM of 620,2834 as per the given fractions.

LCM of 620,2834 is 878540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,6540

GCF of Fractions 83/620,6540/2834 is 1/878540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 83,6540 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,6540 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540

Greatest Common Factor

We found the factors 83,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6540 is 1.

Lets's calculate LCM of 620,2834

2 620, 2834
310, 1417

∴ So the LCM of the given numbers is 2 x 310 x 1417 = 878540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/878540

Therefore, the GCF of Fractions 83/620,6540/2834 is 1/878540

Least Common Multiple of 620,2834 with GCF Formula

Least Common Multiple of 620,2834 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 620,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,2834) = 2

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

GCF(620,2834) x common factors =2 x 1 = 2

LCM(620,2834) = ( 620 × 2834 ) / 2

LCM(620,2834) = 1757080 / 2

LCM(620,2834) = 878540


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 83/620, 6540/2834

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 83/620, 6540/2834?

Answer: GCF of Numerators as per given numbers 83/620, 6540/2834 is

GCF of Numerators i.e. for 83,6540 is 1

LCM of denominators i.e. for 620,2834 is 878540.

Thus, GCF of Fractions is 1/878540.Finally, GCF of Fractions for 83/620, 6540/2834 is 1/878540.