Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 309/39,562/12,206/711
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 309,562,206
Greatest Common Factor of Numerators i.e. GCF of 309,562,206 is 1 .
LCM of Denominators means LCM of 39,12,711 as per the given fractions.
LCM of 39,12,711 is 36972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 309,562,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 309,562,206 . The biggest common factor number is the GCF number.
So the greatest common factor 309,562,206 is 1.
Lets's calculate LCM of 39,12,711
3 | 39, 12, 711 |
13, 4, 237 |
∴ So the LCM of the given numbers is 3 x 13 x 4 x 237 = 36972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36972
Therefore, the GCF of Fractions 309/39,562/12,206/711 is 1/36972
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 39,12,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,12,711) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(39,12,711) x common factors =3 x 3 = 9
LCM(39,12,711) = ( 39 × 12 × 711 ) / 9
LCM(39,12,711) = 332748 / 9
LCM(39,12,711) = 36972
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 309/39, 562/12, 206/711?
Answer: GCF of Numerators as per given numbers 309/39, 562/12, 206/711 is
GCF of Numerators i.e. for 309,562,206 is 1
LCM of denominators i.e. for 39,12,711 is 36972.
Thus, GCF of Fractions is 1/36972.Finally, GCF of Fractions for 309/39, 562/12, 206/711 is 1/36972.