Greatest Common Factor of 3318/645, 1308/3549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3318/645, 1308/3549

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 3318/645,1308/3549

Given fractions are 3318/645,1308/3549

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 3318,1308

Greatest Common Factor of Numerators i.e. GCF of 3318,1308 is 6 .

LCM of Denominators means LCM of 645,3549 as per the given fractions.

LCM of 645,3549 is 763035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3318,1308

GCF of Fractions 3318/645,1308/3549 is 6/763035

2 3318, 1308
3 1659, 654
553, 218

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3318,1308 By Matching Biggest Common Factor Method

Greatest Common Factor of 3318,1308 By Matching Biggest Common Factor Method

Factors of 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors 3318,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 3318,1308 is 6.

Lets's calculate LCM of 645,3549

3 645, 3549
215, 1183

∴ So the LCM of the given numbers is 3 x 215 x 1183 = 763035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/763035

Therefore, the GCF of Fractions 3318/645,1308/3549 is 6/763035

Least Common Multiple of 645,3549 with GCF Formula

Least Common Multiple of 645,3549 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 645,3549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,3549) = 3

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

GCF(645,3549) x common factors =3 x 1 = 3

LCM(645,3549) = ( 645 × 3549 ) / 3

LCM(645,3549) = 2289105 / 3

LCM(645,3549) = 763035


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 3318/645, 1308/3549

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 3318/645, 1308/3549?

Answer: GCF of Numerators as per given numbers 3318/645, 1308/3549 is

GCF of Numerators i.e. for 3318,1308 is 6

LCM of denominators i.e. for 645,3549 is 763035.

Thus, GCF of Fractions is 6/763035.Finally, GCF of Fractions for 3318/645, 1308/3549 is 6/763035.