Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4069/25,5055/239
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 4069,5055
Greatest Common Factor of Numerators i.e. GCF of 4069,5055 is 1 .
LCM of Denominators means LCM of 25,239 as per the given fractions.
LCM of 25,239 is 5975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4069,5055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4069
List of positive integer factors of 4069 that divides 4069 without a remainder.
1,13,313,4069
Factors of 5055
List of positive integer factors of 5055 that divides 5055 without a remainder.
1,3,5,15,337,1011,1685,5055
Greatest Common Factor
We found the factors 4069,5055 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,5055 is 1.
Lets's calculate LCM of 25,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 5975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5975
Therefore, the GCF of Fractions 4069/25,5055/239 is 1/5975
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 25,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,239) x common factors =1 x 1 = 1
LCM(25,239) = ( 25 × 239 ) / 1
LCM(25,239) = 5975 / 1
LCM(25,239) = 5975
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 4069/25, 5055/239?
Answer: GCF of Numerators as per given numbers 4069/25, 5055/239 is
GCF of Numerators i.e. for 4069,5055 is 1
LCM of denominators i.e. for 25,239 is 5975.
Thus, GCF of Fractions is 1/5975.Finally, GCF of Fractions for 4069/25, 5055/239 is 1/5975.