Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3206/519,9799/990
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 3206,9799
Greatest Common Factor of Numerators i.e. GCF of 3206,9799 is 1 .
LCM of Denominators means LCM of 519,990 as per the given fractions.
LCM of 519,990 is 171270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3206,9799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3206
List of positive integer factors of 3206 that divides 3206 without a remainder.
1,2,7,14,229,458,1603,3206
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1,41,239,9799
Greatest Common Factor
We found the factors 3206,9799 . The biggest common factor number is the GCF number.
So the greatest common factor 3206,9799 is 1.
Lets's calculate LCM of 519,990
3 | 519, 990 |
173, 330 |
∴ So the LCM of the given numbers is 3 x 173 x 330 = 171270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171270
Therefore, the GCF of Fractions 3206/519,9799/990 is 1/171270
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 519,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,990) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,990) x common factors =3 x 1 = 3
LCM(519,990) = ( 519 × 990 ) / 3
LCM(519,990) = 513810 / 3
LCM(519,990) = 171270
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 3206/519, 9799/990?
Answer: GCF of Numerators as per given numbers 3206/519, 9799/990 is
GCF of Numerators i.e. for 3206,9799 is 1
LCM of denominators i.e. for 519,990 is 171270.
Thus, GCF of Fractions is 1/171270.Finally, GCF of Fractions for 3206/519, 9799/990 is 1/171270.