Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3280/204,9201/590
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 3280,9201
Greatest Common Factor of Numerators i.e. GCF of 3280,9201 is 1 .
LCM of Denominators means LCM of 204,590 as per the given fractions.
LCM of 204,590 is 60180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3280,9201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3280
List of positive integer factors of 3280 that divides 3280 without a remainder.
1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Factors of 9201
List of positive integer factors of 9201 that divides 9201 without a remainder.
1,3,3067,9201
Greatest Common Factor
We found the factors 3280,9201 . The biggest common factor number is the GCF number.
So the greatest common factor 3280,9201 is 1.
Lets's calculate LCM of 204,590
2 | 204, 590 |
102, 295 |
∴ So the LCM of the given numbers is 2 x 102 x 295 = 60180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60180
Therefore, the GCF of Fractions 3280/204,9201/590 is 1/60180
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 204,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,590) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,590) x common factors =2 x 1 = 2
LCM(204,590) = ( 204 × 590 ) / 2
LCM(204,590) = 120360 / 2
LCM(204,590) = 60180
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 3280/204, 9201/590?
Answer: GCF of Numerators as per given numbers 3280/204, 9201/590 is
GCF of Numerators i.e. for 3280,9201 is 1
LCM of denominators i.e. for 204,590 is 60180.
Thus, GCF of Fractions is 1/60180.Finally, GCF of Fractions for 3280/204, 9201/590 is 1/60180.