Greatest Common Factor of 206/50, 289/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/50, 289/972

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 206/50,289/972

Given fractions are 206/50,289/972

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 206,289

Greatest Common Factor of Numerators i.e. GCF of 206,289 is 1 .

LCM of Denominators means LCM of 50,972 as per the given fractions.

LCM of 50,972 is 24300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,289

GCF of Fractions 206/50,289/972 is 1/24300

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

Greatest Common Factor of 206,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,289 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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 206,289 . The biggest common factor number is the GCF number.
So the greatest common factor 206,289 is 1.

Lets's calculate LCM of 50,972

2 50, 972
25, 486

∴ So the LCM of the given numbers is 2 x 25 x 486 = 24300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24300

Therefore, the GCF of Fractions 206/50,289/972 is 1/24300

Least Common Multiple of 50,972 with GCF Formula

Least Common Multiple of 50,972 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 50,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,972) = 2

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

GCF(50,972) x common factors =2 x 1 = 2

LCM(50,972) = ( 50 × 972 ) / 2

LCM(50,972) = 48600 / 2

LCM(50,972) = 24300


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 206/50, 289/972

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 206/50, 289/972?

Answer: GCF of Numerators as per given numbers 206/50, 289/972 is

GCF of Numerators i.e. for 206,289 is 1

LCM of denominators i.e. for 50,972 is 24300.

Thus, GCF of Fractions is 1/24300.Finally, GCF of Fractions for 206/50, 289/972 is 1/24300.