Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/389,59/664,197/919
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 79,59,197
Greatest Common Factor of Numerators i.e. GCF of 79,59,197 is 1 .
LCM of Denominators means LCM of 389,664,919 as per the given fractions.
LCM of 389,664,919 is 237374024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,59,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 79,59,197 . The biggest common factor number is the GCF number.
So the greatest common factor 79,59,197 is 1.
Lets's calculate LCM of 389,664,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 237374024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237374024
Therefore, the GCF of Fractions 79/389,59/664,197/919 is 1/237374024
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 389,664,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,664,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,664,919) x common factors =1 x 1 = 1
LCM(389,664,919) = ( 389 × 664 × 919 ) / 1
LCM(389,664,919) = 237374024 / 1
LCM(389,664,919) = 237374024
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 79/389, 59/664, 197/919?
Answer: GCF of Numerators as per given numbers 79/389, 59/664, 197/919 is
GCF of Numerators i.e. for 79,59,197 is 1
LCM of denominators i.e. for 389,664,919 is 237374024.
Thus, GCF of Fractions is 1/237374024.Finally, GCF of Fractions for 79/389, 59/664, 197/919 is 1/237374024.