Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4573/733,2068/3990
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 4573,2068
Greatest Common Factor of Numerators i.e. GCF of 4573,2068 is 1 .
LCM of Denominators means LCM of 733,3990 as per the given fractions.
LCM of 733,3990 is 2924670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4573,2068
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4573
List of positive integer factors of 4573 that divides 4573 without a remainder.
1,17,269,4573
Factors of 2068
List of positive integer factors of 2068 that divides 2068 without a remainder.
1,2,4,11,22,44,47,94,188,517,1034,2068
Greatest Common Factor
We found the factors 4573,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 4573,2068 is 1.
Lets's calculate LCM of 733,3990
Given numbers has no common factors except 1. So, there LCM is their product i.e 2924670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2924670
Therefore, the GCF of Fractions 4573/733,2068/3990 is 1/2924670
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 733,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,3990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,3990) x common factors =1 x 1 = 1
LCM(733,3990) = ( 733 × 3990 ) / 1
LCM(733,3990) = 2924670 / 1
LCM(733,3990) = 2924670
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 4573/733, 2068/3990?
Answer: GCF of Numerators as per given numbers 4573/733, 2068/3990 is
GCF of Numerators i.e. for 4573,2068 is 1
LCM of denominators i.e. for 733,3990 is 2924670.
Thus, GCF of Fractions is 1/2924670.Finally, GCF of Fractions for 4573/733, 2068/3990 is 1/2924670.