Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 458/213,4573/784
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 458,4573
Greatest Common Factor of Numerators i.e. GCF of 458,4573 is 1 .
LCM of Denominators means LCM of 213,784 as per the given fractions.
LCM of 213,784 is 166992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 458,4573
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 4573
List of positive integer factors of 4573 that divides 4573 without a remainder.
1,17,269,4573
Greatest Common Factor
We found the factors 458,4573 . The biggest common factor number is the GCF number.
So the greatest common factor 458,4573 is 1.
Lets's calculate LCM of 213,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 166992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166992
Therefore, the GCF of Fractions 458/213,4573/784 is 1/166992
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 213,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,784) x common factors =1 x 1 = 1
LCM(213,784) = ( 213 × 784 ) / 1
LCM(213,784) = 166992 / 1
LCM(213,784) = 166992
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 458/213, 4573/784?
Answer: GCF of Numerators as per given numbers 458/213, 4573/784 is
GCF of Numerators i.e. for 458,4573 is 1
LCM of denominators i.e. for 213,784 is 166992.
Thus, GCF of Fractions is 1/166992.Finally, GCF of Fractions for 458/213, 4573/784 is 1/166992.