Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 218/331,2009/9336
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 218,2009
Greatest Common Factor of Numerators i.e. GCF of 218,2009 is 1 .
LCM of Denominators means LCM of 331,9336 as per the given fractions.
LCM of 331,9336 is 3090216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 218,2009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 2009
List of positive integer factors of 2009 that divides 2009 without a remainder.
1,7,41,49,287,2009
Greatest Common Factor
We found the factors 218,2009 . The biggest common factor number is the GCF number.
So the greatest common factor 218,2009 is 1.
Lets's calculate LCM of 331,9336
Given numbers has no common factors except 1. So, there LCM is their product i.e 3090216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3090216
Therefore, the GCF of Fractions 218/331,2009/9336 is 1/3090216
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 331,9336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,9336) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,9336) x common factors =1 x 1 = 1
LCM(331,9336) = ( 331 × 9336 ) / 1
LCM(331,9336) = 3090216 / 1
LCM(331,9336) = 3090216
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 218/331, 2009/9336?
Answer: GCF of Numerators as per given numbers 218/331, 2009/9336 is
GCF of Numerators i.e. for 218,2009 is 1
LCM of denominators i.e. for 331,9336 is 3090216.
Thus, GCF of Fractions is 1/3090216.Finally, GCF of Fractions for 218/331, 2009/9336 is 1/3090216.