Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/599,1838/318
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 396,1838
Greatest Common Factor of Numerators i.e. GCF of 396,1838 is 2 .
LCM of Denominators means LCM of 599,318 as per the given fractions.
LCM of 599,318 is 190482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,1838
2 | 396, 1838 |
198, 919 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Greatest Common Factor
We found the factors 396,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 396,1838 is 2.
Lets's calculate LCM of 599,318
Given numbers has no common factors except 1. So, there LCM is their product i.e 190482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190482
Therefore, the GCF of Fractions 396/599,1838/318 is 2/190482
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 599,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,318) x common factors =1 x 1 = 1
LCM(599,318) = ( 599 × 318 ) / 1
LCM(599,318) = 190482 / 1
LCM(599,318) = 190482
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 396/599, 1838/318?
Answer: GCF of Numerators as per given numbers 396/599, 1838/318 is
GCF of Numerators i.e. for 396,1838 is 2
LCM of denominators i.e. for 599,318 is 190482.
Thus, GCF of Fractions is 2/190482.Finally, GCF of Fractions for 396/599, 1838/318 is 2/190482.