Greatest Common Factor of 206/131, 9340/1926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/131, 9340/1926

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 206/131,9340/1926

Given fractions are 206/131,9340/1926

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 206,9340

Greatest Common Factor of Numerators i.e. GCF of 206,9340 is 2 .

LCM of Denominators means LCM of 131,1926 as per the given fractions.

LCM of 131,1926 is 252306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,9340

GCF of Fractions 206/131,9340/1926 is 2/252306

2 206, 9340
103, 4670

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,9340 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,9340 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 9340

List of positive integer factors of 9340 that divides 9340 without a remainder.

1,2,4,5,10,20,467,934,1868,2335,4670,9340

Greatest Common Factor

We found the factors 206,9340 . The biggest common factor number is the GCF number.
So the greatest common factor 206,9340 is 2.

Lets's calculate LCM of 131,1926

Given numbers has no common factors except 1. So, there LCM is their product i.e 252306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/252306

Therefore, the GCF of Fractions 206/131,9340/1926 is 2/252306

Least Common Multiple of 131,1926 with GCF Formula

Least Common Multiple of 131,1926 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 131,1926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,1926) = 1

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

GCF(131,1926) x common factors =1 x 1 = 1

LCM(131,1926) = ( 131 × 1926 ) / 1

LCM(131,1926) = 252306 / 1

LCM(131,1926) = 252306


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 206/131, 9340/1926

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 206/131, 9340/1926?

Answer: GCF of Numerators as per given numbers 206/131, 9340/1926 is

GCF of Numerators i.e. for 206,9340 is 2

LCM of denominators i.e. for 131,1926 is 252306.

Thus, GCF of Fractions is 2/252306.Finally, GCF of Fractions for 206/131, 9340/1926 is 2/252306.