Greatest Common Factor of 5541/818, 3717/3378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5541/818, 3717/3378

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 5541/818,3717/3378

Given fractions are 5541/818,3717/3378

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 5541,3717

Greatest Common Factor of Numerators i.e. GCF of 5541,3717 is 3 .

LCM of Denominators means LCM of 818,3378 as per the given fractions.

LCM of 818,3378 is 1381602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5541,3717

GCF of Fractions 5541/818,3717/3378 is 3/1381602

3 5541, 3717
1847, 1239

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

Greatest Common Factor of 5541,3717 By Matching Biggest Common Factor Method

Greatest Common Factor of 5541,3717 By Matching Biggest Common Factor Method

Factors of 5541

List of positive integer factors of 5541 that divides 5541 without a remainder.

1,3,1847,5541

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1,3,7,9,21,59,63,177,413,531,1239,3717

Greatest Common Factor

We found the factors 5541,3717 . The biggest common factor number is the GCF number.
So the greatest common factor 5541,3717 is 3.

Lets's calculate LCM of 818,3378

2 818, 3378
409, 1689

∴ So the LCM of the given numbers is 2 x 409 x 1689 = 1381602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1381602

Therefore, the GCF of Fractions 5541/818,3717/3378 is 3/1381602

Least Common Multiple of 818,3378 with GCF Formula

Least Common Multiple of 818,3378 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 818,3378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,3378) = 2

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

GCF(818,3378) x common factors =2 x 1 = 2

LCM(818,3378) = ( 818 × 3378 ) / 2

LCM(818,3378) = 2763204 / 2

LCM(818,3378) = 1381602


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 5541/818, 3717/3378

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 5541/818, 3717/3378?

Answer: GCF of Numerators as per given numbers 5541/818, 3717/3378 is

GCF of Numerators i.e. for 5541,3717 is 3

LCM of denominators i.e. for 818,3378 is 1381602.

Thus, GCF of Fractions is 3/1381602.Finally, GCF of Fractions for 5541/818, 3717/3378 is 3/1381602.