Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8959/776,8891/4181
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 8959,8891
Greatest Common Factor of Numerators i.e. GCF of 8959,8891 is 17 .
LCM of Denominators means LCM of 776,4181 as per the given fractions.
LCM of 776,4181 is 3244456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8959,8891
17 | 8959, 8891 |
527, 523 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 8959
List of positive integer factors of 8959 that divides 8959 without a remainder.
1,17,31,289,527,8959
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1,17,523,8891
Greatest Common Factor
We found the factors 8959,8891 . The biggest common factor number is the GCF number.
So the greatest common factor 8959,8891 is 17.
Lets's calculate LCM of 776,4181
Given numbers has no common factors except 1. So, there LCM is their product i.e 3244456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3244456
Therefore, the GCF of Fractions 8959/776,8891/4181 is 17/3244456
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 776,4181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,4181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,4181) x common factors =1 x 1 = 1
LCM(776,4181) = ( 776 × 4181 ) / 1
LCM(776,4181) = 3244456 / 1
LCM(776,4181) = 3244456
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 8959/776, 8891/4181?
Answer: GCF of Numerators as per given numbers 8959/776, 8891/4181 is
GCF of Numerators i.e. for 8959,8891 is 17
LCM of denominators i.e. for 776,4181 is 3244456.
Thus, GCF of Fractions is 17/3244456.Finally, GCF of Fractions for 8959/776, 8891/4181 is 17/3244456.