Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9111/603,3933/3859
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 9111,3933
Greatest Common Factor of Numerators i.e. GCF of 9111,3933 is 3 .
LCM of Denominators means LCM of 603,3859 as per the given fractions.
LCM of 603,3859 is 2326977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9111,3933
3 | 9111, 3933 |
3037, 1311 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9111
List of positive integer factors of 9111 that divides 9111 without a remainder.
1,3,3037,9111
Factors of 3933
List of positive integer factors of 3933 that divides 3933 without a remainder.
1,3,9,19,23,57,69,171,207,437,1311,3933
Greatest Common Factor
We found the factors 9111,3933 . The biggest common factor number is the GCF number.
So the greatest common factor 9111,3933 is 3.
Lets's calculate LCM of 603,3859
Given numbers has no common factors except 1. So, there LCM is their product i.e 2326977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2326977
Therefore, the GCF of Fractions 9111/603,3933/3859 is 3/2326977
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 603,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,3859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,3859) x common factors =1 x 1 = 1
LCM(603,3859) = ( 603 × 3859 ) / 1
LCM(603,3859) = 2326977 / 1
LCM(603,3859) = 2326977
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 9111/603, 3933/3859?
Answer: GCF of Numerators as per given numbers 9111/603, 3933/3859 is
GCF of Numerators i.e. for 9111,3933 is 3
LCM of denominators i.e. for 603,3859 is 2326977.
Thus, GCF of Fractions is 3/2326977.Finally, GCF of Fractions for 9111/603, 3933/3859 is 3/2326977.