Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 225/150,8093/617
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 225,8093
Greatest Common Factor of Numerators i.e. GCF of 225,8093 is 1 .
LCM of Denominators means LCM of 150,617 as per the given fractions.
LCM of 150,617 is 92550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 225,8093
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 8093
List of positive integer factors of 8093 that divides 8093 without a remainder.
1,8093
Greatest Common Factor
We found the factors 225,8093 . The biggest common factor number is the GCF number.
So the greatest common factor 225,8093 is 1.
Lets's calculate LCM of 150,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 92550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92550
Therefore, the GCF of Fractions 225/150,8093/617 is 1/92550
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 150,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(150,617) x common factors =1 x 1 = 1
LCM(150,617) = ( 150 × 617 ) / 1
LCM(150,617) = 92550 / 1
LCM(150,617) = 92550
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 225/150, 8093/617?
Answer: GCF of Numerators as per given numbers 225/150, 8093/617 is
GCF of Numerators i.e. for 225,8093 is 1
LCM of denominators i.e. for 150,617 is 92550.
Thus, GCF of Fractions is 1/92550.Finally, GCF of Fractions for 225/150, 8093/617 is 1/92550.