Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5596/522,2346/9365
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 5596,2346
Greatest Common Factor of Numerators i.e. GCF of 5596,2346 is 2 .
LCM of Denominators means LCM of 522,9365 as per the given fractions.
LCM of 522,9365 is 4888530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5596,2346
2 | 5596, 2346 |
2798, 1173 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5596
List of positive integer factors of 5596 that divides 5596 without a remainder.
1,2,4,1399,2798,5596
Factors of 2346
List of positive integer factors of 2346 that divides 2346 without a remainder.
1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346
Greatest Common Factor
We found the factors 5596,2346 . The biggest common factor number is the GCF number.
So the greatest common factor 5596,2346 is 2.
Lets's calculate LCM of 522,9365
Given numbers has no common factors except 1. So, there LCM is their product i.e 4888530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4888530
Therefore, the GCF of Fractions 5596/522,2346/9365 is 2/4888530
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 522,9365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,9365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,9365) x common factors =1 x 1 = 1
LCM(522,9365) = ( 522 × 9365 ) / 1
LCM(522,9365) = 4888530 / 1
LCM(522,9365) = 4888530
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 5596/522, 2346/9365?
Answer: GCF of Numerators as per given numbers 5596/522, 2346/9365 is
GCF of Numerators i.e. for 5596,2346 is 2
LCM of denominators i.e. for 522,9365 is 4888530.
Thus, GCF of Fractions is 2/4888530.Finally, GCF of Fractions for 5596/522, 2346/9365 is 2/4888530.