Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6666/485,9323/216
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 6666,9323
Greatest Common Factor of Numerators i.e. GCF of 6666,9323 is 1 .
LCM of Denominators means LCM of 485,216 as per the given fractions.
LCM of 485,216 is 104760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6666,9323
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6666
List of positive integer factors of 6666 that divides 6666 without a remainder.
1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666
Factors of 9323
List of positive integer factors of 9323 that divides 9323 without a remainder.
1,9323
Greatest Common Factor
We found the factors 6666,9323 . The biggest common factor number is the GCF number.
So the greatest common factor 6666,9323 is 1.
Lets's calculate LCM of 485,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 104760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104760
Therefore, the GCF of Fractions 6666/485,9323/216 is 1/104760
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 485,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,216) x common factors =1 x 1 = 1
LCM(485,216) = ( 485 × 216 ) / 1
LCM(485,216) = 104760 / 1
LCM(485,216) = 104760
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 6666/485, 9323/216?
Answer: GCF of Numerators as per given numbers 6666/485, 9323/216 is
GCF of Numerators i.e. for 6666,9323 is 1
LCM of denominators i.e. for 485,216 is 104760.
Thus, GCF of Fractions is 1/104760.Finally, GCF of Fractions for 6666/485, 9323/216 is 1/104760.