Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 203/433,935/436
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 203,935
Greatest Common Factor of Numerators i.e. GCF of 203,935 is 1 .
LCM of Denominators means LCM of 433,436 as per the given fractions.
LCM of 433,436 is 188788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 203,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 203,935 . The biggest common factor number is the GCF number.
So the greatest common factor 203,935 is 1.
Lets's calculate LCM of 433,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 188788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188788
Therefore, the GCF of Fractions 203/433,935/436 is 1/188788
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 433,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,436) x common factors =1 x 1 = 1
LCM(433,436) = ( 433 × 436 ) / 1
LCM(433,436) = 188788 / 1
LCM(433,436) = 188788
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 203/433, 935/436?
Answer: GCF of Numerators as per given numbers 203/433, 935/436 is
GCF of Numerators i.e. for 203,935 is 1
LCM of denominators i.e. for 433,436 is 188788.
Thus, GCF of Fractions is 1/188788.Finally, GCF of Fractions for 203/433, 935/436 is 1/188788.