Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5513/259,9362/867
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 5513,9362
Greatest Common Factor of Numerators i.e. GCF of 5513,9362 is 1 .
LCM of Denominators means LCM of 259,867 as per the given fractions.
LCM of 259,867 is 224553 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5513,9362
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1,37,149,5513
Factors of 9362
List of positive integer factors of 9362 that divides 9362 without a remainder.
1,2,31,62,151,302,4681,9362
Greatest Common Factor
We found the factors 5513,9362 . The biggest common factor number is the GCF number.
So the greatest common factor 5513,9362 is 1.
Lets's calculate LCM of 259,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 224553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224553
Therefore, the GCF of Fractions 5513/259,9362/867 is 1/224553
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 259,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,867) x common factors =1 x 1 = 1
LCM(259,867) = ( 259 × 867 ) / 1
LCM(259,867) = 224553 / 1
LCM(259,867) = 224553
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 5513/259, 9362/867?
Answer: GCF of Numerators as per given numbers 5513/259, 9362/867 is
GCF of Numerators i.e. for 5513,9362 is 1
LCM of denominators i.e. for 259,867 is 224553.
Thus, GCF of Fractions is 1/224553.Finally, GCF of Fractions for 5513/259, 9362/867 is 1/224553.