Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/11,48/93,809/232
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 15,48,809
Greatest Common Factor of Numerators i.e. GCF of 15,48,809 is 1 .
LCM of Denominators means LCM of 11,93,232 as per the given fractions.
LCM of 11,93,232 is 237336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,48,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 15,48,809 . The biggest common factor number is the GCF number.
So the greatest common factor 15,48,809 is 1.
Lets's calculate LCM of 11,93,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 237336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237336
Therefore, the GCF of Fractions 15/11,48/93,809/232 is 1/237336
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 11,93,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,93,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,93,232) x common factors =1 x 1 = 1
LCM(11,93,232) = ( 11 × 93 × 232 ) / 1
LCM(11,93,232) = 237336 / 1
LCM(11,93,232) = 237336
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 15/11, 48/93, 809/232?
Answer: GCF of Numerators as per given numbers 15/11, 48/93, 809/232 is
GCF of Numerators i.e. for 15,48,809 is 1
LCM of denominators i.e. for 11,93,232 is 237336.
Thus, GCF of Fractions is 1/237336.Finally, GCF of Fractions for 15/11, 48/93, 809/232 is 1/237336.