Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9117/17,2417/792
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 9117,2417
Greatest Common Factor of Numerators i.e. GCF of 9117,2417 is 1 .
LCM of Denominators means LCM of 17,792 as per the given fractions.
LCM of 17,792 is 13464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9117,2417
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9117
List of positive integer factors of 9117 that divides 9117 without a remainder.
1,3,9,1013,3039,9117
Factors of 2417
List of positive integer factors of 2417 that divides 2417 without a remainder.
1,2417
Greatest Common Factor
We found the factors 9117,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 9117,2417 is 1.
Lets's calculate LCM of 17,792
Given numbers has no common factors except 1. So, there LCM is their product i.e 13464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13464
Therefore, the GCF of Fractions 9117/17,2417/792 is 1/13464
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 17,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,792) x common factors =1 x 1 = 1
LCM(17,792) = ( 17 × 792 ) / 1
LCM(17,792) = 13464 / 1
LCM(17,792) = 13464
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 9117/17, 2417/792?
Answer: GCF of Numerators as per given numbers 9117/17, 2417/792 is
GCF of Numerators i.e. for 9117,2417 is 1
LCM of denominators i.e. for 17,792 is 13464.
Thus, GCF of Fractions is 1/13464.Finally, GCF of Fractions for 9117/17, 2417/792 is 1/13464.