Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9589/387,3736/514
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 9589,3736
Greatest Common Factor of Numerators i.e. GCF of 9589,3736 is 1 .
LCM of Denominators means LCM of 387,514 as per the given fractions.
LCM of 387,514 is 198918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9589,3736
∴ 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 3736
List of positive integer factors of 3736 that divides 3736 without a remainder.
1,2,4,8,467,934,1868,3736
Greatest Common Factor
We found the factors 9589,3736 . The biggest common factor number is the GCF number.
So the greatest common factor 9589,3736 is 1.
Lets's calculate LCM of 387,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 198918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198918
Therefore, the GCF of Fractions 9589/387,3736/514 is 1/198918
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 387,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,514) x common factors =1 x 1 = 1
LCM(387,514) = ( 387 × 514 ) / 1
LCM(387,514) = 198918 / 1
LCM(387,514) = 198918
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 9589/387, 3736/514?
Answer: GCF of Numerators as per given numbers 9589/387, 3736/514 is
GCF of Numerators i.e. for 9589,3736 is 1
LCM of denominators i.e. for 387,514 is 198918.
Thus, GCF of Fractions is 1/198918.Finally, GCF of Fractions for 9589/387, 3736/514 is 1/198918.