Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5183/984,6225/8289
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 5183,6225
Greatest Common Factor of Numerators i.e. GCF of 5183,6225 is 1 .
LCM of Denominators means LCM of 984,8289 as per the given fractions.
LCM of 984,8289 is 2718792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5183,6225
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5183
List of positive integer factors of 5183 that divides 5183 without a remainder.
1,71,73,5183
Factors of 6225
List of positive integer factors of 6225 that divides 6225 without a remainder.
1,3,5,15,25,75,83,249,415,1245,2075,6225
Greatest Common Factor
We found the factors 5183,6225 . The biggest common factor number is the GCF number.
So the greatest common factor 5183,6225 is 1.
Lets's calculate LCM of 984,8289
3 | 984, 8289 |
328, 2763 |
∴ So the LCM of the given numbers is 3 x 328 x 2763 = 2718792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2718792
Therefore, the GCF of Fractions 5183/984,6225/8289 is 1/2718792
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 984,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,8289) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,8289) x common factors =3 x 1 = 3
LCM(984,8289) = ( 984 × 8289 ) / 3
LCM(984,8289) = 8156376 / 3
LCM(984,8289) = 2718792
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 5183/984, 6225/8289?
Answer: GCF of Numerators as per given numbers 5183/984, 6225/8289 is
GCF of Numerators i.e. for 5183,6225 is 1
LCM of denominators i.e. for 984,8289 is 2718792.
Thus, GCF of Fractions is 1/2718792.Finally, GCF of Fractions for 5183/984, 6225/8289 is 1/2718792.