Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6225/991,4441/2300
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 6225,4441
Greatest Common Factor of Numerators i.e. GCF of 6225,4441 is 1 .
LCM of Denominators means LCM of 991,2300 as per the given fractions.
LCM of 991,2300 is 2279300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6225,4441
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6225
List of positive integer factors of 6225 that divides 6225 without a remainder.
1,3,5,15,25,75,83,249,415,1245,2075,6225
Factors of 4441
List of positive integer factors of 4441 that divides 4441 without a remainder.
1,4441
Greatest Common Factor
We found the factors 6225,4441 . The biggest common factor number is the GCF number.
So the greatest common factor 6225,4441 is 1.
Lets's calculate LCM of 991,2300
Given numbers has no common factors except 1. So, there LCM is their product i.e 2279300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2279300
Therefore, the GCF of Fractions 6225/991,4441/2300 is 1/2279300
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 991,2300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,2300) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,2300) x common factors =1 x 1 = 1
LCM(991,2300) = ( 991 × 2300 ) / 1
LCM(991,2300) = 2279300 / 1
LCM(991,2300) = 2279300
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 6225/991, 4441/2300?
Answer: GCF of Numerators as per given numbers 6225/991, 4441/2300 is
GCF of Numerators i.e. for 6225,4441 is 1
LCM of denominators i.e. for 991,2300 is 2279300.
Thus, GCF of Fractions is 1/2279300.Finally, GCF of Fractions for 6225/991, 4441/2300 is 1/2279300.