Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/241,150/990,217/860
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 815,150,217
Greatest Common Factor of Numerators i.e. GCF of 815,150,217 is 1 .
LCM of Denominators means LCM of 241,990,860 as per the given fractions.
LCM of 241,990,860 is 20518740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,150,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 815,150,217 . The biggest common factor number is the GCF number.
So the greatest common factor 815,150,217 is 1.
Lets's calculate LCM of 241,990,860
2 | 241, 990, 860 |
5 | 241, 495, 430 |
241, 99, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 241 x 99 x 86 = 20518740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20518740
Therefore, the GCF of Fractions 815/241,150/990,217/860 is 1/20518740
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 241,990,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,990,860) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(241,990,860) x common factors =1 x 10 = 10
LCM(241,990,860) = ( 241 × 990 × 860 ) / 10
LCM(241,990,860) = 205187400 / 10
LCM(241,990,860) = 20518740
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 815/241, 150/990, 217/860?
Answer: GCF of Numerators as per given numbers 815/241, 150/990, 217/860 is
GCF of Numerators i.e. for 815,150,217 is 1
LCM of denominators i.e. for 241,990,860 is 20518740.
Thus, GCF of Fractions is 1/20518740.Finally, GCF of Fractions for 815/241, 150/990, 217/860 is 1/20518740.