Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/204,3266/303
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 611,3266
Greatest Common Factor of Numerators i.e. GCF of 611,3266 is 1 .
LCM of Denominators means LCM of 204,303 as per the given fractions.
LCM of 204,303 is 20604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,3266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 3266
List of positive integer factors of 3266 that divides 3266 without a remainder.
1,2,23,46,71,142,1633,3266
Greatest Common Factor
We found the factors 611,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 611,3266 is 1.
Lets's calculate LCM of 204,303
3 | 204, 303 |
68, 101 |
∴ So the LCM of the given numbers is 3 x 68 x 101 = 20604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20604
Therefore, the GCF of Fractions 611/204,3266/303 is 1/20604
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 204,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,303) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,303) x common factors =3 x 1 = 3
LCM(204,303) = ( 204 × 303 ) / 3
LCM(204,303) = 61812 / 3
LCM(204,303) = 20604
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 611/204, 3266/303?
Answer: GCF of Numerators as per given numbers 611/204, 3266/303 is
GCF of Numerators i.e. for 611,3266 is 1
LCM of denominators i.e. for 204,303 is 20604.
Thus, GCF of Fractions is 1/20604.Finally, GCF of Fractions for 611/204, 3266/303 is 1/20604.