Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 419/88,3184/113
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 419,3184
Greatest Common Factor of Numerators i.e. GCF of 419,3184 is 1 .
LCM of Denominators means LCM of 88,113 as per the given fractions.
LCM of 88,113 is 9944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 419,3184
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 3184
List of positive integer factors of 3184 that divides 3184 without a remainder.
1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 419,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 419,3184 is 1.
Lets's calculate LCM of 88,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 9944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9944
Therefore, the GCF of Fractions 419/88,3184/113 is 1/9944
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 88,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,113) x common factors =1 x 1 = 1
LCM(88,113) = ( 88 × 113 ) / 1
LCM(88,113) = 9944 / 1
LCM(88,113) = 9944
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 419/88, 3184/113?
Answer: GCF of Numerators as per given numbers 419/88, 3184/113 is
GCF of Numerators i.e. for 419,3184 is 1
LCM of denominators i.e. for 88,113 is 9944.
Thus, GCF of Fractions is 1/9944.Finally, GCF of Fractions for 419/88, 3184/113 is 1/9944.