Use our free GCF of Fractions Calculator tool to compute the GCF of 816/780, 945/389 i.e 3/303420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 816/780, 945/389.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 816/780,945/389
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 816/780,945/389, numerators are 816,945
Denominators are 780,389
The GCF of 816,945 is 3 .
LCM of 780,389 is 303420.
The greatest common factor of 816/780,945/389 = [GCF of 816,945]/[LCM of 780,389]= 3/303420
Therefore, the GCF of 816/780,945/389 is 3/303420.
To find the highest common factor of 816,945, we have to find the factors of both numbers and list the highest common factor.
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 816,945 is 3.
Lets's calculate GCF of 816,945
3 | 816, 945 |
272, 315 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 816,945 . The biggest common factor number is the GCF number.
So the greatest common factor 816,945 is 3.
Lets's calculate LCM of 780,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 303420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/303420
Therefore, the GCF of Fractions 816/780,945/389 is 3/303420
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 780,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,389) x common factors =1 x 1 = 1
LCM(780,389) = ( 780 × 389 ) / 1
LCM(780,389) = 303420 / 1
LCM(780,389) = 303420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 816,945?
The HCF of 816,945 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 816/780, 945/389?
Answer: GCF of Numerators as per given numbers 816/780, 945/389 is
GCF of Numerators i.e. for 816,945 is 3
LCM of denominators i.e. for 780,389 is 303420.
Thus, GCF of Fractions is 3/303420.Finally, GCF of Fractions for 816/780, 945/389 is 3/303420.