Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/541,4335/5176
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 82,4335
Greatest Common Factor of Numerators i.e. GCF of 82,4335 is 1 .
LCM of Denominators means LCM of 541,5176 as per the given fractions.
LCM of 541,5176 is 2800216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,4335
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 4335
List of positive integer factors of 4335 that divides 4335 without a remainder.
1,3,5,15,17,51,85,255,289,867,1445,4335
Greatest Common Factor
We found the factors 82,4335 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4335 is 1.
Lets's calculate LCM of 541,5176
Given numbers has no common factors except 1. So, there LCM is their product i.e 2800216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2800216
Therefore, the GCF of Fractions 82/541,4335/5176 is 1/2800216
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 541,5176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,5176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,5176) x common factors =1 x 1 = 1
LCM(541,5176) = ( 541 × 5176 ) / 1
LCM(541,5176) = 2800216 / 1
LCM(541,5176) = 2800216
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 82/541, 4335/5176?
Answer: GCF of Numerators as per given numbers 82/541, 4335/5176 is
GCF of Numerators i.e. for 82,4335 is 1
LCM of denominators i.e. for 541,5176 is 2800216.
Thus, GCF of Fractions is 1/2800216.Finally, GCF of Fractions for 82/541, 4335/5176 is 1/2800216.