Greatest Common Factor of 3839/45, 2565/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3839/45, 2565/618

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 3839/45,2565/618

Given fractions are 3839/45,2565/618

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 3839,2565

Greatest Common Factor of Numerators i.e. GCF of 3839,2565 is 1 .

LCM of Denominators means LCM of 45,618 as per the given fractions.

LCM of 45,618 is 9270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3839,2565

GCF of Fractions 3839/45,2565/618 is 1/9270

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

Greatest Common Factor of 3839,2565 By Matching Biggest Common Factor Method

Greatest Common Factor of 3839,2565 By Matching Biggest Common Factor Method

Factors of 3839

List of positive integer factors of 3839 that divides 3839 without a remainder.

1,11,349,3839

Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565

Greatest Common Factor

We found the factors 3839,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 3839,2565 is 1.

Lets's calculate LCM of 45,618

3 45, 618
15, 206

∴ So the LCM of the given numbers is 3 x 15 x 206 = 9270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9270

Therefore, the GCF of Fractions 3839/45,2565/618 is 1/9270

Least Common Multiple of 45,618 with GCF Formula

Least Common Multiple of 45,618 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 45,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,618) = 3

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

GCF(45,618) x common factors =3 x 1 = 3

LCM(45,618) = ( 45 × 618 ) / 3

LCM(45,618) = 27810 / 3

LCM(45,618) = 9270


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 3839/45, 2565/618

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 3839/45, 2565/618?

Answer: GCF of Numerators as per given numbers 3839/45, 2565/618 is

GCF of Numerators i.e. for 3839,2565 is 1

LCM of denominators i.e. for 45,618 is 9270.

Thus, GCF of Fractions is 1/9270.Finally, GCF of Fractions for 3839/45, 2565/618 is 1/9270.