Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4383/290,5983/8397
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 4383,5983
Greatest Common Factor of Numerators i.e. GCF of 4383,5983 is 1 .
LCM of Denominators means LCM of 290,8397 as per the given fractions.
LCM of 290,8397 is 2435130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4383,5983
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4383
List of positive integer factors of 4383 that divides 4383 without a remainder.
1,3,9,487,1461,4383
Factors of 5983
List of positive integer factors of 5983 that divides 5983 without a remainder.
1,31,193,5983
Greatest Common Factor
We found the factors 4383,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 4383,5983 is 1.
Lets's calculate LCM of 290,8397
Given numbers has no common factors except 1. So, there LCM is their product i.e 2435130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2435130
Therefore, the GCF of Fractions 4383/290,5983/8397 is 1/2435130
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 290,8397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,8397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,8397) x common factors =1 x 1 = 1
LCM(290,8397) = ( 290 × 8397 ) / 1
LCM(290,8397) = 2435130 / 1
LCM(290,8397) = 2435130
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 4383/290, 5983/8397?
Answer: GCF of Numerators as per given numbers 4383/290, 5983/8397 is
GCF of Numerators i.e. for 4383,5983 is 1
LCM of denominators i.e. for 290,8397 is 2435130.
Thus, GCF of Fractions is 1/2435130.Finally, GCF of Fractions for 4383/290, 5983/8397 is 1/2435130.