Greatest Common Factor of 2544/60, 3543/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2544/60, 3543/354

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 2544/60,3543/354

Given fractions are 2544/60,3543/354

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 2544,3543

Greatest Common Factor of Numerators i.e. GCF of 2544,3543 is 3 .

LCM of Denominators means LCM of 60,354 as per the given fractions.

LCM of 60,354 is 3540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2544,3543

GCF of Fractions 2544/60,3543/354 is 3/3540

3 2544, 3543
848, 1181

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

Greatest Common Factor of 2544,3543 By Matching Biggest Common Factor Method

Greatest Common Factor of 2544,3543 By Matching Biggest Common Factor Method

Factors of 2544

List of positive integer factors of 2544 that divides 2544 without a remainder.

1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544

Factors of 3543

List of positive integer factors of 3543 that divides 3543 without a remainder.

1,3,1181,3543

Greatest Common Factor

We found the factors 2544,3543 . The biggest common factor number is the GCF number.
So the greatest common factor 2544,3543 is 3.

Lets's calculate LCM of 60,354

2 60, 354
3 30, 177
10, 59

∴ So the LCM of the given numbers is 2 x 3 x 10 x 59 = 3540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3540

Therefore, the GCF of Fractions 2544/60,3543/354 is 3/3540

Least Common Multiple of 60,354 with GCF Formula

Least Common Multiple of 60,354 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 60,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,354) = 6

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

GCF(60,354) x common factors =6 x 1 = 6

LCM(60,354) = ( 60 × 354 ) / 6

LCM(60,354) = 21240 / 6

LCM(60,354) = 3540


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 2544/60, 3543/354

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 2544/60, 3543/354?

Answer: GCF of Numerators as per given numbers 2544/60, 3543/354 is

GCF of Numerators i.e. for 2544,3543 is 3

LCM of denominators i.e. for 60,354 is 3540.

Thus, GCF of Fractions is 3/3540.Finally, GCF of Fractions for 2544/60, 3543/354 is 3/3540.