Greatest Common Factor of 12/306, 107/265, 209/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/306, 107/265, 209/991

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 12/306,107/265,209/991

Given fractions are 12/306,107/265,209/991

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 12,107,209

Greatest Common Factor of Numerators i.e. GCF of 12,107,209 is 1 .

LCM of Denominators means LCM of 306,265,991 as per the given fractions.

LCM of 306,265,991 is 80360190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,107,209

GCF of Fractions 12/306,107/265,209/991 is 1/80360190

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

Greatest Common Factor of 12,107,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,107,209 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 12,107,209 . The biggest common factor number is the GCF number.
So the greatest common factor 12,107,209 is 1.

Lets's calculate LCM of 306,265,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 80360190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80360190

Therefore, the GCF of Fractions 12/306,107/265,209/991 is 1/80360190

Least Common Multiple of 306,265,991 with GCF Formula

Least Common Multiple of 306,265,991 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 306,265,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,265,991) = 1

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

GCF(306,265,991) x common factors =1 x 1 = 1

LCM(306,265,991) = ( 306 × 265 × 991 ) / 1

LCM(306,265,991) = 80360190 / 1

LCM(306,265,991) = 80360190


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 12/306, 107/265, 209/991

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 12/306, 107/265, 209/991?

Answer: GCF of Numerators as per given numbers 12/306, 107/265, 209/991 is

GCF of Numerators i.e. for 12,107,209 is 1

LCM of denominators i.e. for 306,265,991 is 80360190.

Thus, GCF of Fractions is 1/80360190.Finally, GCF of Fractions for 12/306, 107/265, 209/991 is 1/80360190.