Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9589/60,8025/609
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 9589,8025
Greatest Common Factor of Numerators i.e. GCF of 9589,8025 is 1 .
LCM of Denominators means LCM of 60,609 as per the given fractions.
LCM of 60,609 is 12180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9589,8025
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9589
List of positive integer factors of 9589 that divides 9589 without a remainder.
1,43,223,9589
Factors of 8025
List of positive integer factors of 8025 that divides 8025 without a remainder.
1,3,5,15,25,75,107,321,535,1605,2675,8025
Greatest Common Factor
We found the factors 9589,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 9589,8025 is 1.
Lets's calculate LCM of 60,609
3 | 60, 609 |
20, 203 |
∴ So the LCM of the given numbers is 3 x 20 x 203 = 12180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12180
Therefore, the GCF of Fractions 9589/60,8025/609 is 1/12180
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 60,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,609) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(60,609) x common factors =3 x 1 = 3
LCM(60,609) = ( 60 × 609 ) / 3
LCM(60,609) = 36540 / 3
LCM(60,609) = 12180
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 9589/60, 8025/609?
Answer: GCF of Numerators as per given numbers 9589/60, 8025/609 is
GCF of Numerators i.e. for 9589,8025 is 1
LCM of denominators i.e. for 60,609 is 12180.
Thus, GCF of Fractions is 1/12180.Finally, GCF of Fractions for 9589/60, 8025/609 is 1/12180.