Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 229/394,325/134
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 229,325
Greatest Common Factor of Numerators i.e. GCF of 229,325 is 1 .
LCM of Denominators means LCM of 394,134 as per the given fractions.
LCM of 394,134 is 26398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 229,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 229,325 . The biggest common factor number is the GCF number.
So the greatest common factor 229,325 is 1.
Lets's calculate LCM of 394,134
2 | 394, 134 |
197, 67 |
∴ So the LCM of the given numbers is 2 x 197 x 67 = 26398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26398
Therefore, the GCF of Fractions 229/394,325/134 is 1/26398
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 394,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,134) x common factors =2 x 1 = 2
LCM(394,134) = ( 394 × 134 ) / 2
LCM(394,134) = 52796 / 2
LCM(394,134) = 26398
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 229/394, 325/134?
Answer: GCF of Numerators as per given numbers 229/394, 325/134 is
GCF of Numerators i.e. for 229,325 is 1
LCM of denominators i.e. for 394,134 is 26398.
Thus, GCF of Fractions is 1/26398.Finally, GCF of Fractions for 229/394, 325/134 is 1/26398.