Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8910/203,1227/5576
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 8910,1227
Greatest Common Factor of Numerators i.e. GCF of 8910,1227 is 3 .
LCM of Denominators means LCM of 203,5576 as per the given fractions.
LCM of 203,5576 is 1131928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8910,1227
3 | 8910, 1227 |
2970, 409 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8910
List of positive integer factors of 8910 that divides 8910 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Factors of 1227
List of positive integer factors of 1227 that divides 1227 without a remainder.
1,3,409,1227
Greatest Common Factor
We found the factors 8910,1227 . The biggest common factor number is the GCF number.
So the greatest common factor 8910,1227 is 3.
Lets's calculate LCM of 203,5576
Given numbers has no common factors except 1. So, there LCM is their product i.e 1131928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1131928
Therefore, the GCF of Fractions 8910/203,1227/5576 is 3/1131928
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 203,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,5576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,5576) x common factors =1 x 1 = 1
LCM(203,5576) = ( 203 × 5576 ) / 1
LCM(203,5576) = 1131928 / 1
LCM(203,5576) = 1131928
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 8910/203, 1227/5576?
Answer: GCF of Numerators as per given numbers 8910/203, 1227/5576 is
GCF of Numerators i.e. for 8910,1227 is 3
LCM of denominators i.e. for 203,5576 is 1131928.
Thus, GCF of Fractions is 3/1131928.Finally, GCF of Fractions for 8910/203, 1227/5576 is 3/1131928.