Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 596/431,3636/235
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 596,3636
Greatest Common Factor of Numerators i.e. GCF of 596,3636 is 4 .
LCM of Denominators means LCM of 431,235 as per the given fractions.
LCM of 431,235 is 101285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 596,3636
2 | 596, 3636 |
2 | 298, 1818 |
149, 909 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 3636
List of positive integer factors of 3636 that divides 3636 without a remainder.
1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Greatest Common Factor
We found the factors 596,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 596,3636 is 4.
Lets's calculate LCM of 431,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 101285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/101285
Therefore, the GCF of Fractions 596/431,3636/235 is 4/101285
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 431,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,235) x common factors =1 x 1 = 1
LCM(431,235) = ( 431 × 235 ) / 1
LCM(431,235) = 101285 / 1
LCM(431,235) = 101285
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 596/431, 3636/235?
Answer: GCF of Numerators as per given numbers 596/431, 3636/235 is
GCF of Numerators i.e. for 596,3636 is 4
LCM of denominators i.e. for 431,235 is 101285.
Thus, GCF of Fractions is 4/101285.Finally, GCF of Fractions for 596/431, 3636/235 is 4/101285.