Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9599/89,5965/957
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 9599,5965
Greatest Common Factor of Numerators i.e. GCF of 9599,5965 is 1 .
LCM of Denominators means LCM of 89,957 as per the given fractions.
LCM of 89,957 is 85173 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9599,5965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9599
List of positive integer factors of 9599 that divides 9599 without a remainder.
1,29,331,9599
Factors of 5965
List of positive integer factors of 5965 that divides 5965 without a remainder.
1,5,1193,5965
Greatest Common Factor
We found the factors 9599,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 9599,5965 is 1.
Lets's calculate LCM of 89,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 85173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85173
Therefore, the GCF of Fractions 9599/89,5965/957 is 1/85173
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 89,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,957) x common factors =1 x 1 = 1
LCM(89,957) = ( 89 × 957 ) / 1
LCM(89,957) = 85173 / 1
LCM(89,957) = 85173
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 9599/89, 5965/957?
Answer: GCF of Numerators as per given numbers 9599/89, 5965/957 is
GCF of Numerators i.e. for 9599,5965 is 1
LCM of denominators i.e. for 89,957 is 85173.
Thus, GCF of Fractions is 1/85173.Finally, GCF of Fractions for 9599/89, 5965/957 is 1/85173.