Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7366/583,3608/259
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 7366,3608
Greatest Common Factor of Numerators i.e. GCF of 7366,3608 is 2 .
LCM of Denominators means LCM of 583,259 as per the given fractions.
LCM of 583,259 is 150997 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7366,3608
2 | 7366, 3608 |
3683, 1804 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7366
List of positive integer factors of 7366 that divides 7366 without a remainder.
1,2,29,58,127,254,3683,7366
Factors of 3608
List of positive integer factors of 3608 that divides 3608 without a remainder.
1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Greatest Common Factor
We found the factors 7366,3608 . The biggest common factor number is the GCF number.
So the greatest common factor 7366,3608 is 2.
Lets's calculate LCM of 583,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 150997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150997
Therefore, the GCF of Fractions 7366/583,3608/259 is 2/150997
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 583,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,259) x common factors =1 x 1 = 1
LCM(583,259) = ( 583 × 259 ) / 1
LCM(583,259) = 150997 / 1
LCM(583,259) = 150997
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 7366/583, 3608/259?
Answer: GCF of Numerators as per given numbers 7366/583, 3608/259 is
GCF of Numerators i.e. for 7366,3608 is 2
LCM of denominators i.e. for 583,259 is 150997.
Thus, GCF of Fractions is 2/150997.Finally, GCF of Fractions for 7366/583, 3608/259 is 2/150997.