Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5223/39,8937/496
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 5223,8937
Greatest Common Factor of Numerators i.e. GCF of 5223,8937 is 3 .
LCM of Denominators means LCM of 39,496 as per the given fractions.
LCM of 39,496 is 19344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5223,8937
3 | 5223, 8937 |
1741, 2979 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5223
List of positive integer factors of 5223 that divides 5223 without a remainder.
1,3,1741,5223
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1,3,9,27,331,993,2979,8937
Greatest Common Factor
We found the factors 5223,8937 . The biggest common factor number is the GCF number.
So the greatest common factor 5223,8937 is 3.
Lets's calculate LCM of 39,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 19344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19344
Therefore, the GCF of Fractions 5223/39,8937/496 is 3/19344
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 39,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,496) x common factors =1 x 1 = 1
LCM(39,496) = ( 39 × 496 ) / 1
LCM(39,496) = 19344 / 1
LCM(39,496) = 19344
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 5223/39, 8937/496?
Answer: GCF of Numerators as per given numbers 5223/39, 8937/496 is
GCF of Numerators i.e. for 5223,8937 is 3
LCM of denominators i.e. for 39,496 is 19344.
Thus, GCF of Fractions is 3/19344.Finally, GCF of Fractions for 5223/39, 8937/496 is 3/19344.