Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4506/593,3992/394
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 4506,3992
Greatest Common Factor of Numerators i.e. GCF of 4506,3992 is 2 .
LCM of Denominators means LCM of 593,394 as per the given fractions.
LCM of 593,394 is 233642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4506,3992
2 | 4506, 3992 |
2253, 1996 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4506
List of positive integer factors of 4506 that divides 4506 without a remainder.
1,2,3,6,751,1502,2253,4506
Factors of 3992
List of positive integer factors of 3992 that divides 3992 without a remainder.
1,2,4,8,499,998,1996,3992
Greatest Common Factor
We found the factors 4506,3992 . The biggest common factor number is the GCF number.
So the greatest common factor 4506,3992 is 2.
Lets's calculate LCM of 593,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 233642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233642
Therefore, the GCF of Fractions 4506/593,3992/394 is 2/233642
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 593,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,394) x common factors =1 x 1 = 1
LCM(593,394) = ( 593 × 394 ) / 1
LCM(593,394) = 233642 / 1
LCM(593,394) = 233642
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 4506/593, 3992/394?
Answer: GCF of Numerators as per given numbers 4506/593, 3992/394 is
GCF of Numerators i.e. for 4506,3992 is 2
LCM of denominators i.e. for 593,394 is 233642.
Thus, GCF of Fractions is 2/233642.Finally, GCF of Fractions for 4506/593, 3992/394 is 2/233642.