Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6242/331,4193/7172
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 6242,4193
Greatest Common Factor of Numerators i.e. GCF of 6242,4193 is 1 .
LCM of Denominators means LCM of 331,7172 as per the given fractions.
LCM of 331,7172 is 2373932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6242,4193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6242
List of positive integer factors of 6242 that divides 6242 without a remainder.
1,2,3121,6242
Factors of 4193
List of positive integer factors of 4193 that divides 4193 without a remainder.
1,7,599,4193
Greatest Common Factor
We found the factors 6242,4193 . The biggest common factor number is the GCF number.
So the greatest common factor 6242,4193 is 1.
Lets's calculate LCM of 331,7172
Given numbers has no common factors except 1. So, there LCM is their product i.e 2373932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2373932
Therefore, the GCF of Fractions 6242/331,4193/7172 is 1/2373932
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 331,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,7172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,7172) x common factors =1 x 1 = 1
LCM(331,7172) = ( 331 × 7172 ) / 1
LCM(331,7172) = 2373932 / 1
LCM(331,7172) = 2373932
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 6242/331, 4193/7172?
Answer: GCF of Numerators as per given numbers 6242/331, 4193/7172 is
GCF of Numerators i.e. for 6242,4193 is 1
LCM of denominators i.e. for 331,7172 is 2373932.
Thus, GCF of Fractions is 1/2373932.Finally, GCF of Fractions for 6242/331, 4193/7172 is 1/2373932.