Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3935/979,8863/739
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 3935,8863
Greatest Common Factor of Numerators i.e. GCF of 3935,8863 is 1 .
LCM of Denominators means LCM of 979,739 as per the given fractions.
LCM of 979,739 is 723481 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3935,8863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3935
List of positive integer factors of 3935 that divides 3935 without a remainder.
1,5,787,3935
Factors of 8863
List of positive integer factors of 8863 that divides 8863 without a remainder.
1,8863
Greatest Common Factor
We found the factors 3935,8863 . The biggest common factor number is the GCF number.
So the greatest common factor 3935,8863 is 1.
Lets's calculate LCM of 979,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 723481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723481
Therefore, the GCF of Fractions 3935/979,8863/739 is 1/723481
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 979,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,739) x common factors =1 x 1 = 1
LCM(979,739) = ( 979 × 739 ) / 1
LCM(979,739) = 723481 / 1
LCM(979,739) = 723481
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 3935/979, 8863/739?
Answer: GCF of Numerators as per given numbers 3935/979, 8863/739 is
GCF of Numerators i.e. for 3935,8863 is 1
LCM of denominators i.e. for 979,739 is 723481.
Thus, GCF of Fractions is 1/723481.Finally, GCF of Fractions for 3935/979, 8863/739 is 1/723481.