Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3975/785,8852/239
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 3975,8852
Greatest Common Factor of Numerators i.e. GCF of 3975,8852 is 1 .
LCM of Denominators means LCM of 785,239 as per the given fractions.
LCM of 785,239 is 187615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3975,8852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3975
List of positive integer factors of 3975 that divides 3975 without a remainder.
1,3,5,15,25,53,75,159,265,795,1325,3975
Factors of 8852
List of positive integer factors of 8852 that divides 8852 without a remainder.
1,2,4,2213,4426,8852
Greatest Common Factor
We found the factors 3975,8852 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,8852 is 1.
Lets's calculate LCM of 785,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 187615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187615
Therefore, the GCF of Fractions 3975/785,8852/239 is 1/187615
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 785,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,239) x common factors =1 x 1 = 1
LCM(785,239) = ( 785 × 239 ) / 1
LCM(785,239) = 187615 / 1
LCM(785,239) = 187615
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 3975/785, 8852/239?
Answer: GCF of Numerators as per given numbers 3975/785, 8852/239 is
GCF of Numerators i.e. for 3975,8852 is 1
LCM of denominators i.e. for 785,239 is 187615.
Thus, GCF of Fractions is 1/187615.Finally, GCF of Fractions for 3975/785, 8852/239 is 1/187615.