Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9596/821,4441/388
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 9596,4441
Greatest Common Factor of Numerators i.e. GCF of 9596,4441 is 1 .
LCM of Denominators means LCM of 821,388 as per the given fractions.
LCM of 821,388 is 318548 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9596,4441
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9596
List of positive integer factors of 9596 that divides 9596 without a remainder.
1,2,4,2399,4798,9596
Factors of 4441
List of positive integer factors of 4441 that divides 4441 without a remainder.
1,4441
Greatest Common Factor
We found the factors 9596,4441 . The biggest common factor number is the GCF number.
So the greatest common factor 9596,4441 is 1.
Lets's calculate LCM of 821,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 318548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318548
Therefore, the GCF of Fractions 9596/821,4441/388 is 1/318548
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 821,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,388) x common factors =1 x 1 = 1
LCM(821,388) = ( 821 × 388 ) / 1
LCM(821,388) = 318548 / 1
LCM(821,388) = 318548
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 9596/821, 4441/388?
Answer: GCF of Numerators as per given numbers 9596/821, 4441/388 is
GCF of Numerators i.e. for 9596,4441 is 1
LCM of denominators i.e. for 821,388 is 318548.
Thus, GCF of Fractions is 1/318548.Finally, GCF of Fractions for 9596/821, 4441/388 is 1/318548.