Greatest Common Factor of 206/51, 393/60, 808/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/51, 393/60, 808/72

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 206/51,393/60,808/72

Given fractions are 206/51,393/60,808/72

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 206,393,808

Greatest Common Factor of Numerators i.e. GCF of 206,393,808 is 1 .

LCM of Denominators means LCM of 51,60,72 as per the given fractions.

LCM of 51,60,72 is 6120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,393,808

GCF of Fractions 206/51,393/60,808/72 is 1/6120

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

Greatest Common Factor of 206,393,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,393,808 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 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 206,393,808 . The biggest common factor number is the GCF number.
So the greatest common factor 206,393,808 is 1.

Lets's calculate LCM of 51,60,72

2 51, 60, 72
2 51, 30, 36
3 51, 15, 18
17, 5, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 6 = 6120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6120

Therefore, the GCF of Fractions 206/51,393/60,808/72 is 1/6120

Least Common Multiple of 51,60,72 with GCF Formula

Least Common Multiple of 51,60,72 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 51,60,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,60,72) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(51,60,72) x common factors =3 x 12 = 36

LCM(51,60,72) = ( 51 × 60 × 72 ) / 36

LCM(51,60,72) = 220320 / 36

LCM(51,60,72) = 6120


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 206/51, 393/60, 808/72

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 206/51, 393/60, 808/72?

Answer: GCF of Numerators as per given numbers 206/51, 393/60, 808/72 is

GCF of Numerators i.e. for 206,393,808 is 1

LCM of denominators i.e. for 51,60,72 is 6120.

Thus, GCF of Fractions is 1/6120.Finally, GCF of Fractions for 206/51, 393/60, 808/72 is 1/6120.