Greatest Common Factor of 72/38, 27/13, 885/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/38, 27/13, 885/595

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 72/38,27/13,885/595

Given fractions are 72/38,27/13,885/595

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 72,27,885

Greatest Common Factor of Numerators i.e. GCF of 72,27,885 is 3 .

LCM of Denominators means LCM of 38,13,595 as per the given fractions.

LCM of 38,13,595 is 293930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,27,885

GCF of Fractions 72/38,27/13,885/595 is 3/293930

3 72, 27, 885
24, 9, 295

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

Greatest Common Factor of 72,27,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,27,885 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 27

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

1,3,9,27

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 72,27,885 . The biggest common factor number is the GCF number.
So the greatest common factor 72,27,885 is 3.

Lets's calculate LCM of 38,13,595

Given numbers has no common factors except 1. So, there LCM is their product i.e 293930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/293930

Therefore, the GCF of Fractions 72/38,27/13,885/595 is 3/293930

Least Common Multiple of 38,13,595 with GCF Formula

Least Common Multiple of 38,13,595 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 38,13,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,13,595) = 1

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

GCF(38,13,595) x common factors =1 x 1 = 1

LCM(38,13,595) = ( 38 × 13 × 595 ) / 1

LCM(38,13,595) = 293930 / 1

LCM(38,13,595) = 293930


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 72/38, 27/13, 885/595

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 72/38, 27/13, 885/595?

Answer: GCF of Numerators as per given numbers 72/38, 27/13, 885/595 is

GCF of Numerators i.e. for 72,27,885 is 3

LCM of denominators i.e. for 38,13,595 is 293930.

Thus, GCF of Fractions is 3/293930.Finally, GCF of Fractions for 72/38, 27/13, 885/595 is 3/293930.