Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 104/425,399/958
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 104,399
Greatest Common Factor of Numerators i.e. GCF of 104,399 is 1 .
LCM of Denominators means LCM of 425,958 as per the given fractions.
LCM of 425,958 is 407150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 104,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 104,399 . The biggest common factor number is the GCF number.
So the greatest common factor 104,399 is 1.
Lets's calculate LCM of 425,958
Given numbers has no common factors except 1. So, there LCM is their product i.e 407150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407150
Therefore, the GCF of Fractions 104/425,399/958 is 1/407150
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 425,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,958) x common factors =1 x 1 = 1
LCM(425,958) = ( 425 × 958 ) / 1
LCM(425,958) = 407150 / 1
LCM(425,958) = 407150
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 104/425, 399/958?
Answer: GCF of Numerators as per given numbers 104/425, 399/958 is
GCF of Numerators i.e. for 104,399 is 1
LCM of denominators i.e. for 425,958 is 407150.
Thus, GCF of Fractions is 1/407150.Finally, GCF of Fractions for 104/425, 399/958 is 1/407150.