Greatest Common Factor of 27/33, 595/90, 553/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/33, 595/90, 553/792

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 27/33,595/90,553/792

Given fractions are 27/33,595/90,553/792

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 27,595,553

Greatest Common Factor of Numerators i.e. GCF of 27,595,553 is 1 .

LCM of Denominators means LCM of 33,90,792 as per the given fractions.

LCM of 33,90,792 is 3960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,595,553

GCF of Fractions 27/33,595/90,553/792 is 1/3960

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

Greatest Common Factor of 27,595,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,595,553 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 27,595,553 . The biggest common factor number is the GCF number.
So the greatest common factor 27,595,553 is 1.

Lets's calculate LCM of 33,90,792

2 33, 90, 792
3 33, 45, 396
3 11, 15, 132
11 11, 5, 44
1, 5, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 5 x 4 = 3960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3960

Therefore, the GCF of Fractions 27/33,595/90,553/792 is 1/3960

Least Common Multiple of 33,90,792 with GCF Formula

Least Common Multiple of 33,90,792 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 33,90,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,90,792) = 3

common factors(in case of two or more numbers have common factors) = 198

GCF(33,90,792) x common factors =3 x 198 = 594

LCM(33,90,792) = ( 33 × 90 × 792 ) / 594

LCM(33,90,792) = 2352240 / 594

LCM(33,90,792) = 3960


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 27/33, 595/90, 553/792

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 27/33, 595/90, 553/792?

Answer: GCF of Numerators as per given numbers 27/33, 595/90, 553/792 is

GCF of Numerators i.e. for 27,595,553 is 1

LCM of denominators i.e. for 33,90,792 is 3960.

Thus, GCF of Fractions is 1/3960.Finally, GCF of Fractions for 27/33, 595/90, 553/792 is 1/3960.