Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/774,1419/189
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 230,1419
Greatest Common Factor of Numerators i.e. GCF of 230,1419 is 1 .
LCM of Denominators means LCM of 774,189 as per the given fractions.
LCM of 774,189 is 16254 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 230,1419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 1419
List of positive integer factors of 1419 that divides 1419 without a remainder.
1,3,11,33,43,129,473,1419
Greatest Common Factor
We found the factors 230,1419 . The biggest common factor number is the GCF number.
So the greatest common factor 230,1419 is 1.
Lets's calculate LCM of 774,189
3 | 774, 189 |
3 | 258, 63 |
86, 21 |
∴ So the LCM of the given numbers is 3 x 3 x 86 x 21 = 16254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16254
Therefore, the GCF of Fractions 230/774,1419/189 is 1/16254
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 774,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,189) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(774,189) x common factors =9 x 1 = 9
LCM(774,189) = ( 774 × 189 ) / 9
LCM(774,189) = 146286 / 9
LCM(774,189) = 16254
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 230/774, 1419/189?
Answer: GCF of Numerators as per given numbers 230/774, 1419/189 is
GCF of Numerators i.e. for 230,1419 is 1
LCM of denominators i.e. for 774,189 is 16254.
Thus, GCF of Fractions is 1/16254.Finally, GCF of Fractions for 230/774, 1419/189 is 1/16254.