Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4443/582,4516/3049
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 4443,4516
Greatest Common Factor of Numerators i.e. GCF of 4443,4516 is 1 .
LCM of Denominators means LCM of 582,3049 as per the given fractions.
LCM of 582,3049 is 1774518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4443,4516
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4443
List of positive integer factors of 4443 that divides 4443 without a remainder.
1,3,1481,4443
Factors of 4516
List of positive integer factors of 4516 that divides 4516 without a remainder.
1,2,4,1129,2258,4516
Greatest Common Factor
We found the factors 4443,4516 . The biggest common factor number is the GCF number.
So the greatest common factor 4443,4516 is 1.
Lets's calculate LCM of 582,3049
Given numbers has no common factors except 1. So, there LCM is their product i.e 1774518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1774518
Therefore, the GCF of Fractions 4443/582,4516/3049 is 1/1774518
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 582,3049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,3049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,3049) x common factors =1 x 1 = 1
LCM(582,3049) = ( 582 × 3049 ) / 1
LCM(582,3049) = 1774518 / 1
LCM(582,3049) = 1774518
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 4443/582, 4516/3049?
Answer: GCF of Numerators as per given numbers 4443/582, 4516/3049 is
GCF of Numerators i.e. for 4443,4516 is 1
LCM of denominators i.e. for 582,3049 is 1774518.
Thus, GCF of Fractions is 1/1774518.Finally, GCF of Fractions for 4443/582, 4516/3049 is 1/1774518.