Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 191/9797,886/9712
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 191,886
Greatest Common Factor of Numerators i.e. GCF of 191,886 is 1 .
LCM of Denominators means LCM of 9797,9712 as per the given fractions.
LCM of 9797,9712 is 95148464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 191,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 191,886 . The biggest common factor number is the GCF number.
So the greatest common factor 191,886 is 1.
Lets's calculate LCM of 9797,9712
Given numbers has no common factors except 1. So, there LCM is their product i.e 95148464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95148464
Therefore, the GCF of Fractions 191/9797,886/9712 is 1/95148464
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 9797,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9797,9712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9797,9712) x common factors =1 x 1 = 1
LCM(9797,9712) = ( 9797 × 9712 ) / 1
LCM(9797,9712) = 95148464 / 1
LCM(9797,9712) = 95148464
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 191/9797, 886/9712?
Answer: GCF of Numerators as per given numbers 191/9797, 886/9712 is
GCF of Numerators i.e. for 191,886 is 1
LCM of denominators i.e. for 9797,9712 is 95148464.
Thus, GCF of Fractions is 1/95148464.Finally, GCF of Fractions for 191/9797, 886/9712 is 1/95148464.