Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5838/927,4422/203
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 5838,4422
Greatest Common Factor of Numerators i.e. GCF of 5838,4422 is 6 .
LCM of Denominators means LCM of 927,203 as per the given fractions.
LCM of 927,203 is 188181 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5838,4422
2 | 5838, 4422 |
3 | 2919, 2211 |
973, 737 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 5838
List of positive integer factors of 5838 that divides 5838 without a remainder.
1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Factors of 4422
List of positive integer factors of 4422 that divides 4422 without a remainder.
1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Greatest Common Factor
We found the factors 5838,4422 . The biggest common factor number is the GCF number.
So the greatest common factor 5838,4422 is 6.
Lets's calculate LCM of 927,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 188181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/188181
Therefore, the GCF of Fractions 5838/927,4422/203 is 6/188181
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 927,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,203) x common factors =1 x 1 = 1
LCM(927,203) = ( 927 × 203 ) / 1
LCM(927,203) = 188181 / 1
LCM(927,203) = 188181
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 5838/927, 4422/203?
Answer: GCF of Numerators as per given numbers 5838/927, 4422/203 is
GCF of Numerators i.e. for 5838,4422 is 6
LCM of denominators i.e. for 927,203 is 188181.
Thus, GCF of Fractions is 6/188181.Finally, GCF of Fractions for 5838/927, 4422/203 is 6/188181.