Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/236,8685/933
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 193,8685
Greatest Common Factor of Numerators i.e. GCF of 193,8685 is 193 .
LCM of Denominators means LCM of 236,933 as per the given fractions.
LCM of 236,933 is 220188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,8685
193 | 193, 8685 |
1, 45 |
∴ So the GCF of the given numbers is 193 = 193
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 8685
List of positive integer factors of 8685 that divides 8685 without a remainder.
1,3,5,9,15,45,193,579,965,1737,2895,8685
Greatest Common Factor
We found the factors 193,8685 . The biggest common factor number is the GCF number.
So the greatest common factor 193,8685 is 193.
Lets's calculate LCM of 236,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 220188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 193/220188
Therefore, the GCF of Fractions 193/236,8685/933 is 193/220188
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 236,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,933) x common factors =1 x 1 = 1
LCM(236,933) = ( 236 × 933 ) / 1
LCM(236,933) = 220188 / 1
LCM(236,933) = 220188
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 193/236, 8685/933?
Answer: GCF of Numerators as per given numbers 193/236, 8685/933 is
GCF of Numerators i.e. for 193,8685 is 193
LCM of denominators i.e. for 236,933 is 220188.
Thus, GCF of Fractions is 193/220188.Finally, GCF of Fractions for 193/236, 8685/933 is 193/220188.