Greatest Common Factor of 3645/24, 5490/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3645/24, 5490/321

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 3645/24,5490/321

Given fractions are 3645/24,5490/321

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 3645,5490

Greatest Common Factor of Numerators i.e. GCF of 3645,5490 is 45 .

LCM of Denominators means LCM of 24,321 as per the given fractions.

LCM of 24,321 is 2568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3645,5490

GCF of Fractions 3645/24,5490/321 is 45/2568

3 3645, 5490
3 1215, 1830
5 405, 610
81, 122

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 3645,5490 By Matching Biggest Common Factor Method

Greatest Common Factor of 3645,5490 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 5490

List of positive integer factors of 5490 that divides 5490 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490

Greatest Common Factor

We found the factors 3645,5490 . The biggest common factor number is the GCF number.
So the greatest common factor 3645,5490 is 45.

Lets's calculate LCM of 24,321

3 24, 321
8, 107

∴ So the LCM of the given numbers is 3 x 8 x 107 = 2568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/2568

Therefore, the GCF of Fractions 3645/24,5490/321 is 45/2568

Least Common Multiple of 24,321 with GCF Formula

Least Common Multiple of 24,321 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 24,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,321) = 3

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

GCF(24,321) x common factors =3 x 1 = 3

LCM(24,321) = ( 24 × 321 ) / 3

LCM(24,321) = 7704 / 3

LCM(24,321) = 2568


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 3645/24, 5490/321

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 3645/24, 5490/321?

Answer: GCF of Numerators as per given numbers 3645/24, 5490/321 is

GCF of Numerators i.e. for 3645,5490 is 45

LCM of denominators i.e. for 24,321 is 2568.

Thus, GCF of Fractions is 45/2568.Finally, GCF of Fractions for 3645/24, 5490/321 is 45/2568.