Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6195/15,3809/786
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 6195,3809
Greatest Common Factor of Numerators i.e. GCF of 6195,3809 is 1 .
LCM of Denominators means LCM of 15,786 as per the given fractions.
LCM of 15,786 is 3930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6195,3809
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6195
List of positive integer factors of 6195 that divides 6195 without a remainder.
1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Factors of 3809
List of positive integer factors of 3809 that divides 3809 without a remainder.
1,13,293,3809
Greatest Common Factor
We found the factors 6195,3809 . The biggest common factor number is the GCF number.
So the greatest common factor 6195,3809 is 1.
Lets's calculate LCM of 15,786
3 | 15, 786 |
5, 262 |
∴ So the LCM of the given numbers is 3 x 5 x 262 = 3930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3930
Therefore, the GCF of Fractions 6195/15,3809/786 is 1/3930
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 15,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,786) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,786) x common factors =3 x 1 = 3
LCM(15,786) = ( 15 × 786 ) / 3
LCM(15,786) = 11790 / 3
LCM(15,786) = 3930
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 6195/15, 3809/786?
Answer: GCF of Numerators as per given numbers 6195/15, 3809/786 is
GCF of Numerators i.e. for 6195,3809 is 1
LCM of denominators i.e. for 15,786 is 3930.
Thus, GCF of Fractions is 1/3930.Finally, GCF of Fractions for 6195/15, 3809/786 is 1/3930.