Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 306/885,9945/993
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 306,9945
Greatest Common Factor of Numerators i.e. GCF of 306,9945 is 153 .
LCM of Denominators means LCM of 885,993 as per the given fractions.
LCM of 885,993 is 292935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 306,9945
3 | 306, 9945 |
3 | 102, 3315 |
17 | 34, 1105 |
2, 65 |
∴ So the GCF of the given numbers is 3 x 3 x 17 = 153
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 9945
List of positive integer factors of 9945 that divides 9945 without a remainder.
1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 306,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 306,9945 is 153.
Lets's calculate LCM of 885,993
3 | 885, 993 |
295, 331 |
∴ So the LCM of the given numbers is 3 x 295 x 331 = 292935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 153/292935
Therefore, the GCF of Fractions 306/885,9945/993 is 153/292935
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 885,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(885,993) x common factors =3 x 1 = 3
LCM(885,993) = ( 885 × 993 ) / 3
LCM(885,993) = 878805 / 3
LCM(885,993) = 292935
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 306/885, 9945/993?
Answer: GCF of Numerators as per given numbers 306/885, 9945/993 is
GCF of Numerators i.e. for 306,9945 is 153
LCM of denominators i.e. for 885,993 is 292935.
Thus, GCF of Fractions is 153/292935.Finally, GCF of Fractions for 306/885, 9945/993 is 153/292935.