Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8381/239,4066/777
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 8381,4066
Greatest Common Factor of Numerators i.e. GCF of 8381,4066 is 1 .
LCM of Denominators means LCM of 239,777 as per the given fractions.
LCM of 239,777 is 185703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8381,4066
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1,17,29,289,493,8381
Factors of 4066
List of positive integer factors of 4066 that divides 4066 without a remainder.
1,2,19,38,107,214,2033,4066
Greatest Common Factor
We found the factors 8381,4066 . The biggest common factor number is the GCF number.
So the greatest common factor 8381,4066 is 1.
Lets's calculate LCM of 239,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 185703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185703
Therefore, the GCF of Fractions 8381/239,4066/777 is 1/185703
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 239,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,777) x common factors =1 x 1 = 1
LCM(239,777) = ( 239 × 777 ) / 1
LCM(239,777) = 185703 / 1
LCM(239,777) = 185703
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 8381/239, 4066/777?
Answer: GCF of Numerators as per given numbers 8381/239, 4066/777 is
GCF of Numerators i.e. for 8381,4066 is 1
LCM of denominators i.e. for 239,777 is 185703.
Thus, GCF of Fractions is 1/185703.Finally, GCF of Fractions for 8381/239, 4066/777 is 1/185703.