Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5963/32,9001/665
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 5963,9001
Greatest Common Factor of Numerators i.e. GCF of 5963,9001 is 1 .
LCM of Denominators means LCM of 32,665 as per the given fractions.
LCM of 32,665 is 21280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5963,9001
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1,67,89,5963
Factors of 9001
List of positive integer factors of 9001 that divides 9001 without a remainder.
1,9001
Greatest Common Factor
We found the factors 5963,9001 . The biggest common factor number is the GCF number.
So the greatest common factor 5963,9001 is 1.
Lets's calculate LCM of 32,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 21280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21280
Therefore, the GCF of Fractions 5963/32,9001/665 is 1/21280
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 32,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,665) x common factors =1 x 1 = 1
LCM(32,665) = ( 32 × 665 ) / 1
LCM(32,665) = 21280 / 1
LCM(32,665) = 21280
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 5963/32, 9001/665?
Answer: GCF of Numerators as per given numbers 5963/32, 9001/665 is
GCF of Numerators i.e. for 5963,9001 is 1
LCM of denominators i.e. for 32,665 is 21280.
Thus, GCF of Fractions is 1/21280.Finally, GCF of Fractions for 5963/32, 9001/665 is 1/21280.