Greatest Common Factor of 2674/20, 3034/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2674/20, 3034/511

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 2674/20,3034/511

Given fractions are 2674/20,3034/511

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 2674,3034

Greatest Common Factor of Numerators i.e. GCF of 2674,3034 is 2 .

LCM of Denominators means LCM of 20,511 as per the given fractions.

LCM of 20,511 is 10220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2674,3034

GCF of Fractions 2674/20,3034/511 is 2/10220

2 2674, 3034
1337, 1517

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2674,3034 By Matching Biggest Common Factor Method

Greatest Common Factor of 2674,3034 By Matching Biggest Common Factor Method

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1,2,7,14,191,382,1337,2674

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1,2,37,41,74,82,1517,3034

Greatest Common Factor

We found the factors 2674,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,3034 is 2.

Lets's calculate LCM of 20,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 10220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10220

Therefore, the GCF of Fractions 2674/20,3034/511 is 2/10220

Least Common Multiple of 20,511 with GCF Formula

Least Common Multiple of 20,511 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 20,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,511) = 1

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

GCF(20,511) x common factors =1 x 1 = 1

LCM(20,511) = ( 20 × 511 ) / 1

LCM(20,511) = 10220 / 1

LCM(20,511) = 10220


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 2674/20, 3034/511

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 2674/20, 3034/511?

Answer: GCF of Numerators as per given numbers 2674/20, 3034/511 is

GCF of Numerators i.e. for 2674,3034 is 2

LCM of denominators i.e. for 20,511 is 10220.

Thus, GCF of Fractions is 2/10220.Finally, GCF of Fractions for 2674/20, 3034/511 is 2/10220.