Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5895/787,3974/4339
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 5895,3974
Greatest Common Factor of Numerators i.e. GCF of 5895,3974 is 1 .
LCM of Denominators means LCM of 787,4339 as per the given fractions.
LCM of 787,4339 is 3414793 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5895,3974
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5895
List of positive integer factors of 5895 that divides 5895 without a remainder.
1,3,5,9,15,45,131,393,655,1179,1965,5895
Factors of 3974
List of positive integer factors of 3974 that divides 3974 without a remainder.
1,2,1987,3974
Greatest Common Factor
We found the factors 5895,3974 . The biggest common factor number is the GCF number.
So the greatest common factor 5895,3974 is 1.
Lets's calculate LCM of 787,4339
Given numbers has no common factors except 1. So, there LCM is their product i.e 3414793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3414793
Therefore, the GCF of Fractions 5895/787,3974/4339 is 1/3414793
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 787,4339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,4339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,4339) x common factors =1 x 1 = 1
LCM(787,4339) = ( 787 × 4339 ) / 1
LCM(787,4339) = 3414793 / 1
LCM(787,4339) = 3414793
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 5895/787, 3974/4339?
Answer: GCF of Numerators as per given numbers 5895/787, 3974/4339 is
GCF of Numerators i.e. for 5895,3974 is 1
LCM of denominators i.e. for 787,4339 is 3414793.
Thus, GCF of Fractions is 1/3414793.Finally, GCF of Fractions for 5895/787, 3974/4339 is 1/3414793.