Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/31,589/6194
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 335,589
Greatest Common Factor of Numerators i.e. GCF of 335,589 is 1 .
LCM of Denominators means LCM of 31,6194 as per the given fractions.
LCM of 31,6194 is 192014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 335,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 335,589 . The biggest common factor number is the GCF number.
So the greatest common factor 335,589 is 1.
Lets's calculate LCM of 31,6194
Given numbers has no common factors except 1. So, there LCM is their product i.e 192014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192014
Therefore, the GCF of Fractions 335/31,589/6194 is 1/192014
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 31,6194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,6194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,6194) x common factors =1 x 1 = 1
LCM(31,6194) = ( 31 × 6194 ) / 1
LCM(31,6194) = 192014 / 1
LCM(31,6194) = 192014
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 335/31, 589/6194?
Answer: GCF of Numerators as per given numbers 335/31, 589/6194 is
GCF of Numerators i.e. for 335,589 is 1
LCM of denominators i.e. for 31,6194 is 192014.
Thus, GCF of Fractions is 1/192014.Finally, GCF of Fractions for 335/31, 589/6194 is 1/192014.