Greatest Common Factor of 27/906, 150/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/906, 150/343

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 27/906,150/343

Given fractions are 27/906,150/343

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 27,150

Greatest Common Factor of Numerators i.e. GCF of 27,150 is 3 .

LCM of Denominators means LCM of 906,343 as per the given fractions.

LCM of 906,343 is 310758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,150

GCF of Fractions 27/906,150/343 is 3/310758

3 27, 150
9, 50

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

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

Greatest Common Factor of 27,150 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 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 27,150 . The biggest common factor number is the GCF number.
So the greatest common factor 27,150 is 3.

Lets's calculate LCM of 906,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 310758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/310758

Therefore, the GCF of Fractions 27/906,150/343 is 3/310758

Least Common Multiple of 906,343 with GCF Formula

Least Common Multiple of 906,343 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 906,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,343) = 1

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

GCF(906,343) x common factors =1 x 1 = 1

LCM(906,343) = ( 906 × 343 ) / 1

LCM(906,343) = 310758 / 1

LCM(906,343) = 310758


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 27/906, 150/343

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 27/906, 150/343?

Answer: GCF of Numerators as per given numbers 27/906, 150/343 is

GCF of Numerators i.e. for 27,150 is 3

LCM of denominators i.e. for 906,343 is 310758.

Thus, GCF of Fractions is 3/310758.Finally, GCF of Fractions for 27/906, 150/343 is 3/310758.