Greatest Common Factor of 27/825, 428/182, 150/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/825, 428/182, 150/255

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 27/825,428/182,150/255

Given fractions are 27/825,428/182,150/255

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 27,428,150

Greatest Common Factor of Numerators i.e. GCF of 27,428,150 is 1 .

LCM of Denominators means LCM of 825,182,255 as per the given fractions.

LCM of 825,182,255 is 2552550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,428,150

GCF of Fractions 27/825,428/182,150/255 is 1/2552550

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

Greatest Common Factor of 27,428,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,428,150 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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 27,428,150 . The biggest common factor number is the GCF number.
So the greatest common factor 27,428,150 is 1.

Lets's calculate LCM of 825,182,255

3 825, 182, 255
5 275, 182, 85
55, 182, 17

∴ So the LCM of the given numbers is 3 x 5 x 55 x 182 x 17 = 2552550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2552550

Therefore, the GCF of Fractions 27/825,428/182,150/255 is 1/2552550

Least Common Multiple of 825,182,255 with GCF Formula

Least Common Multiple of 825,182,255 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 825,182,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,182,255) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(825,182,255) x common factors =1 x 15 = 15

LCM(825,182,255) = ( 825 × 182 × 255 ) / 15

LCM(825,182,255) = 38288250 / 15

LCM(825,182,255) = 2552550


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 27/825, 428/182, 150/255

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 27/825, 428/182, 150/255?

Answer: GCF of Numerators as per given numbers 27/825, 428/182, 150/255 is

GCF of Numerators i.e. for 27,428,150 is 1

LCM of denominators i.e. for 825,182,255 is 2552550.

Thus, GCF of Fractions is 1/2552550.Finally, GCF of Fractions for 27/825, 428/182, 150/255 is 1/2552550.