Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5279/18,8327/810
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 5279,8327
Greatest Common Factor of Numerators i.e. GCF of 5279,8327 is 1 .
LCM of Denominators means LCM of 18,810 as per the given fractions.
LCM of 18,810 is 810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5279,8327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5279
List of positive integer factors of 5279 that divides 5279 without a remainder.
1,5279
Factors of 8327
List of positive integer factors of 8327 that divides 8327 without a remainder.
1,11,757,8327
Greatest Common Factor
We found the factors 5279,8327 . The biggest common factor number is the GCF number.
So the greatest common factor 5279,8327 is 1.
Lets's calculate LCM of 18,810
2 | 18, 810 |
3 | 9, 405 |
3 | 3, 135 |
1, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 45 = 810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810
Therefore, the GCF of Fractions 5279/18,8327/810 is 1/810
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 18,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,810) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(18,810) x common factors =18 x 1 = 18
LCM(18,810) = ( 18 × 810 ) / 18
LCM(18,810) = 14580 / 18
LCM(18,810) = 810
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 5279/18, 8327/810?
Answer: GCF of Numerators as per given numbers 5279/18, 8327/810 is
GCF of Numerators i.e. for 5279,8327 is 1
LCM of denominators i.e. for 18,810 is 810.
Thus, GCF of Fractions is 1/810.Finally, GCF of Fractions for 5279/18, 8327/810 is 1/810.