Greatest Common Factor of 27/198, 67/357, 910/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/198, 67/357, 910/459

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 27/198,67/357,910/459

Given fractions are 27/198,67/357,910/459

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 27,67,910

Greatest Common Factor of Numerators i.e. GCF of 27,67,910 is 1 .

LCM of Denominators means LCM of 198,357,459 as per the given fractions.

LCM of 198,357,459 is 70686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,67,910

GCF of Fractions 27/198,67/357,910/459 is 1/70686

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

Greatest Common Factor of 27,67,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,67,910 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 27,67,910 . The biggest common factor number is the GCF number.
So the greatest common factor 27,67,910 is 1.

Lets's calculate LCM of 198,357,459

3 198, 357, 459
3 66, 119, 153
17 22, 119, 51
22, 7, 3

∴ So the LCM of the given numbers is 3 x 3 x 17 x 22 x 7 x 3 = 70686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70686

Therefore, the GCF of Fractions 27/198,67/357,910/459 is 1/70686

Least Common Multiple of 198,357,459 with GCF Formula

Least Common Multiple of 198,357,459 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 198,357,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,357,459) = 3

common factors(in case of two or more numbers have common factors) = 153

GCF(198,357,459) x common factors =3 x 153 = 459

LCM(198,357,459) = ( 198 × 357 × 459 ) / 459

LCM(198,357,459) = 32444874 / 459

LCM(198,357,459) = 70686


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 27/198, 67/357, 910/459

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 27/198, 67/357, 910/459?

Answer: GCF of Numerators as per given numbers 27/198, 67/357, 910/459 is

GCF of Numerators i.e. for 27,67,910 is 1

LCM of denominators i.e. for 198,357,459 is 70686.

Thus, GCF of Fractions is 1/70686.Finally, GCF of Fractions for 27/198, 67/357, 910/459 is 1/70686.