Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9110/327,8780/593
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 9110,8780
Greatest Common Factor of Numerators i.e. GCF of 9110,8780 is 10 .
LCM of Denominators means LCM of 327,593 as per the given fractions.
LCM of 327,593 is 193911 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9110,8780
2 | 9110, 8780 |
5 | 4555, 4390 |
911, 878 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 9110
List of positive integer factors of 9110 that divides 9110 without a remainder.
1,2,5,10,911,1822,4555,9110
Factors of 8780
List of positive integer factors of 8780 that divides 8780 without a remainder.
1,2,4,5,10,20,439,878,1756,2195,4390,8780
Greatest Common Factor
We found the factors 9110,8780 . The biggest common factor number is the GCF number.
So the greatest common factor 9110,8780 is 10.
Lets's calculate LCM of 327,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 193911
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/193911
Therefore, the GCF of Fractions 9110/327,8780/593 is 10/193911
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 327,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,593) x common factors =1 x 1 = 1
LCM(327,593) = ( 327 × 593 ) / 1
LCM(327,593) = 193911 / 1
LCM(327,593) = 193911
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 9110/327, 8780/593?
Answer: GCF of Numerators as per given numbers 9110/327, 8780/593 is
GCF of Numerators i.e. for 9110,8780 is 10
LCM of denominators i.e. for 327,593 is 193911.
Thus, GCF of Fractions is 10/193911.Finally, GCF of Fractions for 9110/327, 8780/593 is 10/193911.