Greatest Common Factor of 2674/30, 2165/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2674/30, 2165/613

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 2674/30,2165/613

Given fractions are 2674/30,2165/613

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 2674,2165

Greatest Common Factor of Numerators i.e. GCF of 2674,2165 is 1 .

LCM of Denominators means LCM of 30,613 as per the given fractions.

LCM of 30,613 is 18390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2674,2165

GCF of Fractions 2674/30,2165/613 is 1/18390

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

Greatest Common Factor of 2674,2165 By Matching Biggest Common Factor Method

Greatest Common Factor of 2674,2165 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 2165

List of positive integer factors of 2165 that divides 2165 without a remainder.

1,5,433,2165

Greatest Common Factor

We found the factors 2674,2165 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,2165 is 1.

Lets's calculate LCM of 30,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 18390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18390

Therefore, the GCF of Fractions 2674/30,2165/613 is 1/18390

Least Common Multiple of 30,613 with GCF Formula

Least Common Multiple of 30,613 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 30,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,613) = 1

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

GCF(30,613) x common factors =1 x 1 = 1

LCM(30,613) = ( 30 × 613 ) / 1

LCM(30,613) = 18390 / 1

LCM(30,613) = 18390


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 2674/30, 2165/613

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 2674/30, 2165/613?

Answer: GCF of Numerators as per given numbers 2674/30, 2165/613 is

GCF of Numerators i.e. for 2674,2165 is 1

LCM of denominators i.e. for 30,613 is 18390.

Thus, GCF of Fractions is 1/18390.Finally, GCF of Fractions for 2674/30, 2165/613 is 1/18390.