Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5903/12,4411/887
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 5903,4411
Greatest Common Factor of Numerators i.e. GCF of 5903,4411 is 1 .
LCM of Denominators means LCM of 12,887 as per the given fractions.
LCM of 12,887 is 10644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5903,4411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5903
List of positive integer factors of 5903 that divides 5903 without a remainder.
1,5903
Factors of 4411
List of positive integer factors of 4411 that divides 4411 without a remainder.
1,11,401,4411
Greatest Common Factor
We found the factors 5903,4411 . The biggest common factor number is the GCF number.
So the greatest common factor 5903,4411 is 1.
Lets's calculate LCM of 12,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 10644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10644
Therefore, the GCF of Fractions 5903/12,4411/887 is 1/10644
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 12,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,887) x common factors =1 x 1 = 1
LCM(12,887) = ( 12 × 887 ) / 1
LCM(12,887) = 10644 / 1
LCM(12,887) = 10644
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 5903/12, 4411/887?
Answer: GCF of Numerators as per given numbers 5903/12, 4411/887 is
GCF of Numerators i.e. for 5903,4411 is 1
LCM of denominators i.e. for 12,887 is 10644.
Thus, GCF of Fractions is 1/10644.Finally, GCF of Fractions for 5903/12, 4411/887 is 1/10644.