Greatest Common Factor of 206/289, 3708/6107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/289, 3708/6107

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 206/289,3708/6107

Given fractions are 206/289,3708/6107

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 206,3708

Greatest Common Factor of Numerators i.e. GCF of 206,3708 is 206 .

LCM of Denominators means LCM of 289,6107 as per the given fractions.

LCM of 289,6107 is 1764923 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,3708

GCF of Fractions 206/289,3708/6107 is 206/1764923

2 206, 3708
103 103, 1854
1, 18

∴ So the GCF of the given numbers is 2 x 103 = 206

Greatest Common Factor of 206,3708 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,3708 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 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Greatest Common Factor

We found the factors 206,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 206,3708 is 206.

Lets's calculate LCM of 289,6107

Given numbers has no common factors except 1. So, there LCM is their product i.e 1764923

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 206/1764923

Therefore, the GCF of Fractions 206/289,3708/6107 is 206/1764923

Least Common Multiple of 289,6107 with GCF Formula

Least Common Multiple of 289,6107 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 289,6107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,6107) = 1

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

GCF(289,6107) x common factors =1 x 1 = 1

LCM(289,6107) = ( 289 × 6107 ) / 1

LCM(289,6107) = 1764923 / 1

LCM(289,6107) = 1764923


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 206/289, 3708/6107

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 206/289, 3708/6107?

Answer: GCF of Numerators as per given numbers 206/289, 3708/6107 is

GCF of Numerators i.e. for 206,3708 is 206

LCM of denominators i.e. for 289,6107 is 1764923.

Thus, GCF of Fractions is 206/1764923.Finally, GCF of Fractions for 206/289, 3708/6107 is 206/1764923.