Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4012/86,7901/413
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 4012,7901
Greatest Common Factor of Numerators i.e. GCF of 4012,7901 is 1 .
LCM of Denominators means LCM of 86,413 as per the given fractions.
LCM of 86,413 is 35518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4012,7901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4012
List of positive integer factors of 4012 that divides 4012 without a remainder.
1,2,4,17,34,59,68,118,236,1003,2006,4012
Factors of 7901
List of positive integer factors of 7901 that divides 7901 without a remainder.
1,7901
Greatest Common Factor
We found the factors 4012,7901 . The biggest common factor number is the GCF number.
So the greatest common factor 4012,7901 is 1.
Lets's calculate LCM of 86,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 35518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35518
Therefore, the GCF of Fractions 4012/86,7901/413 is 1/35518
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 86,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,413) x common factors =1 x 1 = 1
LCM(86,413) = ( 86 × 413 ) / 1
LCM(86,413) = 35518 / 1
LCM(86,413) = 35518
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 4012/86, 7901/413?
Answer: GCF of Numerators as per given numbers 4012/86, 7901/413 is
GCF of Numerators i.e. for 4012,7901 is 1
LCM of denominators i.e. for 86,413 is 35518.
Thus, GCF of Fractions is 1/35518.Finally, GCF of Fractions for 4012/86, 7901/413 is 1/35518.