Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9417/80,2903/233
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 9417,2903
Greatest Common Factor of Numerators i.e. GCF of 9417,2903 is 1 .
LCM of Denominators means LCM of 80,233 as per the given fractions.
LCM of 80,233 is 18640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9417,2903
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9417
List of positive integer factors of 9417 that divides 9417 without a remainder.
1,3,43,73,129,219,3139,9417
Factors of 2903
List of positive integer factors of 2903 that divides 2903 without a remainder.
1,2903
Greatest Common Factor
We found the factors 9417,2903 . The biggest common factor number is the GCF number.
So the greatest common factor 9417,2903 is 1.
Lets's calculate LCM of 80,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 18640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18640
Therefore, the GCF of Fractions 9417/80,2903/233 is 1/18640
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 80,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,233) x common factors =1 x 1 = 1
LCM(80,233) = ( 80 × 233 ) / 1
LCM(80,233) = 18640 / 1
LCM(80,233) = 18640
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 9417/80, 2903/233?
Answer: GCF of Numerators as per given numbers 9417/80, 2903/233 is
GCF of Numerators i.e. for 9417,2903 is 1
LCM of denominators i.e. for 80,233 is 18640.
Thus, GCF of Fractions is 1/18640.Finally, GCF of Fractions for 9417/80, 2903/233 is 1/18640.