Greatest Common Factor of 720/27, 993/69, 905/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/27, 993/69, 905/959

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 720/27,993/69,905/959

Given fractions are 720/27,993/69,905/959

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 720,993,905

Greatest Common Factor of Numerators i.e. GCF of 720,993,905 is 1 .

LCM of Denominators means LCM of 27,69,959 as per the given fractions.

LCM of 27,69,959 is 595539 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,993,905

GCF of Fractions 720/27,993/69,905/959 is 1/595539

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

Greatest Common Factor of 720,993,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,993,905 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 720,993,905 . The biggest common factor number is the GCF number.
So the greatest common factor 720,993,905 is 1.

Lets's calculate LCM of 27,69,959

3 27, 69, 959
9, 23, 959

∴ So the LCM of the given numbers is 3 x 9 x 23 x 959 = 595539

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595539

Therefore, the GCF of Fractions 720/27,993/69,905/959 is 1/595539

Least Common Multiple of 27,69,959 with GCF Formula

Least Common Multiple of 27,69,959 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 27,69,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,69,959) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,69,959) x common factors =1 x 3 = 3

LCM(27,69,959) = ( 27 × 69 × 959 ) / 3

LCM(27,69,959) = 1786617 / 3

LCM(27,69,959) = 595539


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 720/27, 993/69, 905/959

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 720/27, 993/69, 905/959?

Answer: GCF of Numerators as per given numbers 720/27, 993/69, 905/959 is

GCF of Numerators i.e. for 720,993,905 is 1

LCM of denominators i.e. for 27,69,959 is 595539.

Thus, GCF of Fractions is 1/595539.Finally, GCF of Fractions for 720/27, 993/69, 905/959 is 1/595539.