Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/867,233/204,867/568
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 151,233,867
Greatest Common Factor of Numerators i.e. GCF of 151,233,867 is 1 .
LCM of Denominators means LCM of 867,204,568 as per the given fractions.
LCM of 867,204,568 is 492456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,233,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 151,233,867 . The biggest common factor number is the GCF number.
So the greatest common factor 151,233,867 is 1.
Lets's calculate LCM of 867,204,568
2 | 867, 204, 568 |
2 | 867, 102, 284 |
3 | 867, 51, 142 |
17 | 289, 17, 142 |
1, 17, 142 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 17 x 142 = 492456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492456
Therefore, the GCF of Fractions 151/867,233/204,867/568 is 1/492456
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 867,204,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,204,568) = 1
common factors(in case of two or more numbers have common factors) = 204
GCF(867,204,568) x common factors =1 x 204 = 204
LCM(867,204,568) = ( 867 × 204 × 568 ) / 204
LCM(867,204,568) = 100461024 / 204
LCM(867,204,568) = 492456
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 151/867, 233/204, 867/568?
Answer: GCF of Numerators as per given numbers 151/867, 233/204, 867/568 is
GCF of Numerators i.e. for 151,233,867 is 1
LCM of denominators i.e. for 867,204,568 is 492456.
Thus, GCF of Fractions is 1/492456.Finally, GCF of Fractions for 151/867, 233/204, 867/568 is 1/492456.