Greatest Common Factor of 3645/571, 2814/2018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3645/571, 2814/2018

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 3645/571,2814/2018

Given fractions are 3645/571,2814/2018

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 3645,2814

Greatest Common Factor of Numerators i.e. GCF of 3645,2814 is 3 .

LCM of Denominators means LCM of 571,2018 as per the given fractions.

LCM of 571,2018 is 1152278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3645,2814

GCF of Fractions 3645/571,2814/2018 is 3/1152278

3 3645, 2814
1215, 938

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

Greatest Common Factor of 3645,2814 By Matching Biggest Common Factor Method

Greatest Common Factor of 3645,2814 By Matching Biggest Common Factor Method

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,729,1215,3645

Factors of 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814

Greatest Common Factor

We found the factors 3645,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 3645,2814 is 3.

Lets's calculate LCM of 571,2018

Given numbers has no common factors except 1. So, there LCM is their product i.e 1152278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1152278

Therefore, the GCF of Fractions 3645/571,2814/2018 is 3/1152278

Least Common Multiple of 571,2018 with GCF Formula

Least Common Multiple of 571,2018 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 571,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,2018) = 1

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

GCF(571,2018) x common factors =1 x 1 = 1

LCM(571,2018) = ( 571 × 2018 ) / 1

LCM(571,2018) = 1152278 / 1

LCM(571,2018) = 1152278


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 3645/571, 2814/2018

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 3645/571, 2814/2018?

Answer: GCF of Numerators as per given numbers 3645/571, 2814/2018 is

GCF of Numerators i.e. for 3645,2814 is 3

LCM of denominators i.e. for 571,2018 is 1152278.

Thus, GCF of Fractions is 3/1152278.Finally, GCF of Fractions for 3645/571, 2814/2018 is 3/1152278.