Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/200,888/886
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 927,888
Greatest Common Factor of Numerators i.e. GCF of 927,888 is 3 .
LCM of Denominators means LCM of 200,886 as per the given fractions.
LCM of 200,886 is 88600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,888
3 | 927, 888 |
309, 296 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 927,888 . The biggest common factor number is the GCF number.
So the greatest common factor 927,888 is 3.
Lets's calculate LCM of 200,886
2 | 200, 886 |
100, 443 |
∴ So the LCM of the given numbers is 2 x 100 x 443 = 88600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88600
Therefore, the GCF of Fractions 927/200,888/886 is 3/88600
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 200,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,886) x common factors =2 x 1 = 2
LCM(200,886) = ( 200 × 886 ) / 2
LCM(200,886) = 177200 / 2
LCM(200,886) = 88600
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 927/200, 888/886?
Answer: GCF of Numerators as per given numbers 927/200, 888/886 is
GCF of Numerators i.e. for 927,888 is 3
LCM of denominators i.e. for 200,886 is 88600.
Thus, GCF of Fractions is 3/88600.Finally, GCF of Fractions for 927/200, 888/886 is 3/88600.