Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9959/56,5397/591
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 9959,5397
Greatest Common Factor of Numerators i.e. GCF of 9959,5397 is 1 .
LCM of Denominators means LCM of 56,591 as per the given fractions.
LCM of 56,591 is 33096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9959,5397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9959
List of positive integer factors of 9959 that divides 9959 without a remainder.
1,23,433,9959
Factors of 5397
List of positive integer factors of 5397 that divides 5397 without a remainder.
1,3,7,21,257,771,1799,5397
Greatest Common Factor
We found the factors 9959,5397 . The biggest common factor number is the GCF number.
So the greatest common factor 9959,5397 is 1.
Lets's calculate LCM of 56,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 33096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33096
Therefore, the GCF of Fractions 9959/56,5397/591 is 1/33096
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 56,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,591) x common factors =1 x 1 = 1
LCM(56,591) = ( 56 × 591 ) / 1
LCM(56,591) = 33096 / 1
LCM(56,591) = 33096
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 9959/56, 5397/591?
Answer: GCF of Numerators as per given numbers 9959/56, 5397/591 is
GCF of Numerators i.e. for 9959,5397 is 1
LCM of denominators i.e. for 56,591 is 33096.
Thus, GCF of Fractions is 1/33096.Finally, GCF of Fractions for 9959/56, 5397/591 is 1/33096.