Greatest Common Factor of 27/28, 387/88, 900/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/28, 387/88, 900/640

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 27/28,387/88,900/640

Given fractions are 27/28,387/88,900/640

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 27,387,900

Greatest Common Factor of Numerators i.e. GCF of 27,387,900 is 9 .

LCM of Denominators means LCM of 28,88,640 as per the given fractions.

LCM of 28,88,640 is 49280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,387,900

GCF of Fractions 27/28,387/88,900/640 is 9/49280

3 27, 387, 900
3 9, 129, 300
3, 43, 100

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 27,387,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,387,900 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 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 27,387,900 . The biggest common factor number is the GCF number.
So the greatest common factor 27,387,900 is 9.

Lets's calculate LCM of 28,88,640

2 28, 88, 640
2 14, 44, 320
2 7, 22, 160
7, 11, 80

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 11 x 80 = 49280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/49280

Therefore, the GCF of Fractions 27/28,387/88,900/640 is 9/49280

Least Common Multiple of 28,88,640 with GCF Formula

Least Common Multiple of 28,88,640 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 28,88,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,88,640) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(28,88,640) x common factors =4 x 8 = 32

LCM(28,88,640) = ( 28 × 88 × 640 ) / 32

LCM(28,88,640) = 1576960 / 32

LCM(28,88,640) = 49280


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 27/28, 387/88, 900/640

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 27/28, 387/88, 900/640?

Answer: GCF of Numerators as per given numbers 27/28, 387/88, 900/640 is

GCF of Numerators i.e. for 27,387,900 is 9

LCM of denominators i.e. for 28,88,640 is 49280.

Thus, GCF of Fractions is 9/49280.Finally, GCF of Fractions for 27/28, 387/88, 900/640 is 9/49280.