Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/20,807/3889
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 394,807
Greatest Common Factor of Numerators i.e. GCF of 394,807 is 1 .
LCM of Denominators means LCM of 20,3889 as per the given fractions.
LCM of 20,3889 is 77780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 394,807 . The biggest common factor number is the GCF number.
So the greatest common factor 394,807 is 1.
Lets's calculate LCM of 20,3889
Given numbers has no common factors except 1. So, there LCM is their product i.e 77780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77780
Therefore, the GCF of Fractions 394/20,807/3889 is 1/77780
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 20,3889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,3889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,3889) x common factors =1 x 1 = 1
LCM(20,3889) = ( 20 × 3889 ) / 1
LCM(20,3889) = 77780 / 1
LCM(20,3889) = 77780
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 394/20, 807/3889?
Answer: GCF of Numerators as per given numbers 394/20, 807/3889 is
GCF of Numerators i.e. for 394,807 is 1
LCM of denominators i.e. for 20,3889 is 77780.
Thus, GCF of Fractions is 1/77780.Finally, GCF of Fractions for 394/20, 807/3889 is 1/77780.