Greatest Common Factor of 593/44, 204/15, 748/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 593/44, 204/15, 748/555

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 593/44,204/15,748/555

Given fractions are 593/44,204/15,748/555

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 593,204,748

Greatest Common Factor of Numerators i.e. GCF of 593,204,748 is 1 .

LCM of Denominators means LCM of 44,15,555 as per the given fractions.

LCM of 44,15,555 is 24420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 593,204,748

GCF of Fractions 593/44,204/15,748/555 is 1/24420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 593,204,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,204,748 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 593,204,748 . The biggest common factor number is the GCF number.
So the greatest common factor 593,204,748 is 1.

Lets's calculate LCM of 44,15,555

3 44, 15, 555
5 44, 5, 185
44, 1, 37

∴ So the LCM of the given numbers is 3 x 5 x 44 x 1 x 37 = 24420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24420

Therefore, the GCF of Fractions 593/44,204/15,748/555 is 1/24420

Least Common Multiple of 44,15,555 with GCF Formula

Least Common Multiple of 44,15,555 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 44,15,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,15,555) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(44,15,555) x common factors =1 x 15 = 15

LCM(44,15,555) = ( 44 × 15 × 555 ) / 15

LCM(44,15,555) = 366300 / 15

LCM(44,15,555) = 24420


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 593/44, 204/15, 748/555

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 593/44, 204/15, 748/555?

Answer: GCF of Numerators as per given numbers 593/44, 204/15, 748/555 is

GCF of Numerators i.e. for 593,204,748 is 1

LCM of denominators i.e. for 44,15,555 is 24420.

Thus, GCF of Fractions is 1/24420.Finally, GCF of Fractions for 593/44, 204/15, 748/555 is 1/24420.