Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4580/747,6029/5491
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 4580,6029
Greatest Common Factor of Numerators i.e. GCF of 4580,6029 is 1 .
LCM of Denominators means LCM of 747,5491 as per the given fractions.
LCM of 747,5491 is 4101777 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4580,6029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4580
List of positive integer factors of 4580 that divides 4580 without a remainder.
1,2,4,5,10,20,229,458,916,1145,2290,4580
Factors of 6029
List of positive integer factors of 6029 that divides 6029 without a remainder.
1,6029
Greatest Common Factor
We found the factors 4580,6029 . The biggest common factor number is the GCF number.
So the greatest common factor 4580,6029 is 1.
Lets's calculate LCM of 747,5491
Given numbers has no common factors except 1. So, there LCM is their product i.e 4101777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4101777
Therefore, the GCF of Fractions 4580/747,6029/5491 is 1/4101777
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 747,5491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,5491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,5491) x common factors =1 x 1 = 1
LCM(747,5491) = ( 747 × 5491 ) / 1
LCM(747,5491) = 4101777 / 1
LCM(747,5491) = 4101777
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 4580/747, 6029/5491?
Answer: GCF of Numerators as per given numbers 4580/747, 6029/5491 is
GCF of Numerators i.e. for 4580,6029 is 1
LCM of denominators i.e. for 747,5491 is 4101777.
Thus, GCF of Fractions is 1/4101777.Finally, GCF of Fractions for 4580/747, 6029/5491 is 1/4101777.