Greatest Common Factor of 27/34, 300/29, 264/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/34, 300/29, 264/580

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 27/34,300/29,264/580

Given fractions are 27/34,300/29,264/580

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 27,300,264

Greatest Common Factor of Numerators i.e. GCF of 27,300,264 is 3 .

LCM of Denominators means LCM of 34,29,580 as per the given fractions.

LCM of 34,29,580 is 9860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,300,264

GCF of Fractions 27/34,300/29,264/580 is 3/9860

3 27, 300, 264
9, 100, 88

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

Greatest Common Factor of 27,300,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,300,264 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 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 27,300,264 . The biggest common factor number is the GCF number.
So the greatest common factor 27,300,264 is 3.

Lets's calculate LCM of 34,29,580

2 34, 29, 580
29 17, 29, 290
17, 1, 10

∴ So the LCM of the given numbers is 2 x 29 x 17 x 1 x 10 = 9860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9860

Therefore, the GCF of Fractions 27/34,300/29,264/580 is 3/9860

Least Common Multiple of 34,29,580 with GCF Formula

Least Common Multiple of 34,29,580 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 34,29,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,29,580) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(34,29,580) x common factors =1 x 58 = 58

LCM(34,29,580) = ( 34 × 29 × 580 ) / 58

LCM(34,29,580) = 571880 / 58

LCM(34,29,580) = 9860


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 27/34, 300/29, 264/580

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 27/34, 300/29, 264/580?

Answer: GCF of Numerators as per given numbers 27/34, 300/29, 264/580 is

GCF of Numerators i.e. for 27,300,264 is 3

LCM of denominators i.e. for 34,29,580 is 9860.

Thus, GCF of Fractions is 3/9860.Finally, GCF of Fractions for 27/34, 300/29, 264/580 is 3/9860.