Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8616/81,5885/352
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 8616,5885
Greatest Common Factor of Numerators i.e. GCF of 8616,5885 is 1 .
LCM of Denominators means LCM of 81,352 as per the given fractions.
LCM of 81,352 is 28512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8616,5885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8616
List of positive integer factors of 8616 that divides 8616 without a remainder.
1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Factors of 5885
List of positive integer factors of 5885 that divides 5885 without a remainder.
1,5,11,55,107,535,1177,5885
Greatest Common Factor
We found the factors 8616,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 8616,5885 is 1.
Lets's calculate LCM of 81,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 28512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28512
Therefore, the GCF of Fractions 8616/81,5885/352 is 1/28512
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 81,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,352) x common factors =1 x 1 = 1
LCM(81,352) = ( 81 × 352 ) / 1
LCM(81,352) = 28512 / 1
LCM(81,352) = 28512
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 8616/81, 5885/352?
Answer: GCF of Numerators as per given numbers 8616/81, 5885/352 is
GCF of Numerators i.e. for 8616,5885 is 1
LCM of denominators i.e. for 81,352 is 28512.
Thus, GCF of Fractions is 1/28512.Finally, GCF of Fractions for 8616/81, 5885/352 is 1/28512.