Greatest Common Factor of 206/73, 178/34, 267/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/73, 178/34, 267/634

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 206/73,178/34,267/634

Given fractions are 206/73,178/34,267/634

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 206,178,267

Greatest Common Factor of Numerators i.e. GCF of 206,178,267 is 1 .

LCM of Denominators means LCM of 73,34,634 as per the given fractions.

LCM of 73,34,634 is 786794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,178,267

GCF of Fractions 206/73,178/34,267/634 is 1/786794

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

Greatest Common Factor of 206,178,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,178,267 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 206,178,267 . The biggest common factor number is the GCF number.
So the greatest common factor 206,178,267 is 1.

Lets's calculate LCM of 73,34,634

2 73, 34, 634
73, 17, 317

∴ So the LCM of the given numbers is 2 x 73 x 17 x 317 = 786794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786794

Therefore, the GCF of Fractions 206/73,178/34,267/634 is 1/786794

Least Common Multiple of 73,34,634 with GCF Formula

Least Common Multiple of 73,34,634 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 73,34,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,34,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,34,634) x common factors =1 x 2 = 2

LCM(73,34,634) = ( 73 × 34 × 634 ) / 2

LCM(73,34,634) = 1573588 / 2

LCM(73,34,634) = 786794


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 206/73, 178/34, 267/634

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 206/73, 178/34, 267/634?

Answer: GCF of Numerators as per given numbers 206/73, 178/34, 267/634 is

GCF of Numerators i.e. for 206,178,267 is 1

LCM of denominators i.e. for 73,34,634 is 786794.

Thus, GCF of Fractions is 1/786794.Finally, GCF of Fractions for 206/73, 178/34, 267/634 is 1/786794.