Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8187/408,3602/913
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 8187,3602
Greatest Common Factor of Numerators i.e. GCF of 8187,3602 is 1 .
LCM of Denominators means LCM of 408,913 as per the given fractions.
LCM of 408,913 is 372504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8187,3602
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8187
List of positive integer factors of 8187 that divides 8187 without a remainder.
1,3,2729,8187
Factors of 3602
List of positive integer factors of 3602 that divides 3602 without a remainder.
1,2,1801,3602
Greatest Common Factor
We found the factors 8187,3602 . The biggest common factor number is the GCF number.
So the greatest common factor 8187,3602 is 1.
Lets's calculate LCM of 408,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 372504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372504
Therefore, the GCF of Fractions 8187/408,3602/913 is 1/372504
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 408,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,913) x common factors =1 x 1 = 1
LCM(408,913) = ( 408 × 913 ) / 1
LCM(408,913) = 372504 / 1
LCM(408,913) = 372504
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 8187/408, 3602/913?
Answer: GCF of Numerators as per given numbers 8187/408, 3602/913 is
GCF of Numerators i.e. for 8187,3602 is 1
LCM of denominators i.e. for 408,913 is 372504.
Thus, GCF of Fractions is 1/372504.Finally, GCF of Fractions for 8187/408, 3602/913 is 1/372504.