Greatest Common Factor of 5547/55, 8748/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5547/55, 8748/393

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 5547/55,8748/393

Given fractions are 5547/55,8748/393

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 5547,8748

Greatest Common Factor of Numerators i.e. GCF of 5547,8748 is 3 .

LCM of Denominators means LCM of 55,393 as per the given fractions.

LCM of 55,393 is 21615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5547,8748

GCF of Fractions 5547/55,8748/393 is 3/21615

3 5547, 8748
1849, 2916

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

Greatest Common Factor of 5547,8748 By Matching Biggest Common Factor Method

Greatest Common Factor of 5547,8748 By Matching Biggest Common Factor Method

Factors of 5547

List of positive integer factors of 5547 that divides 5547 without a remainder.

1,3,43,129,1849,5547

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748

Greatest Common Factor

We found the factors 5547,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 5547,8748 is 3.

Lets's calculate LCM of 55,393

Given numbers has no common factors except 1. So, there LCM is their product i.e 21615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21615

Therefore, the GCF of Fractions 5547/55,8748/393 is 3/21615

Least Common Multiple of 55,393 with GCF Formula

Least Common Multiple of 55,393 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 55,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,393) = 1

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

GCF(55,393) x common factors =1 x 1 = 1

LCM(55,393) = ( 55 × 393 ) / 1

LCM(55,393) = 21615 / 1

LCM(55,393) = 21615


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 5547/55, 8748/393

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 5547/55, 8748/393?

Answer: GCF of Numerators as per given numbers 5547/55, 8748/393 is

GCF of Numerators i.e. for 5547,8748 is 3

LCM of denominators i.e. for 55,393 is 21615.

Thus, GCF of Fractions is 3/21615.Finally, GCF of Fractions for 5547/55, 8748/393 is 3/21615.