Use our free GCF of Fractions Calculator tool to compute the GCF of 96/205, 18/747, 387/963 i.e 3/16385445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/205, 18/747, 387/963.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/205,18/747,387/963
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 96/205,18/747,387/963, numerators are 96,18,387
Denominators are 205,747,963
The GCF of 96,18,387 is 3 .
LCM of 205,747,963 is 16385445.
The greatest common factor of 96/205,18/747,387/963 = [GCF of 96,18,387]/[LCM of 205,747,963]= 3/16385445
Therefore, the GCF of 96/205,18/747,387/963 is 3/16385445.
To find the highest common factor of 96,18,387, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 387 are 1, 3, 9, 43, 129, 387
The HCF of 96,18,387 is 3.
Lets's calculate GCF of 96,18,387
3 | 96, 18, 387 |
32, 6, 129 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 387
:1,3,9,43,129,387
Greatest Common Factor
We found the factors 96,18,387 . The biggest common factor number is the GCF number.
So the greatest common factor 96,18,387 is 3.
Lets's calculate LCM of 205,747,963
3 | 205, 747, 963 |
3 | 205, 249, 321 |
205, 83, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 205 x 83 x 107 = 16385445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16385445
Therefore, the GCF of Fractions 96/205,18/747,387/963 is 3/16385445
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 205,747,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,747,963) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(205,747,963) x common factors =1 x 9 = 9
LCM(205,747,963) = ( 205 × 747 × 963 ) / 9
LCM(205,747,963) = 147469005 / 9
LCM(205,747,963) = 16385445
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,18,387?
The HCF of 96,18,387 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 96/205, 18/747, 387/963?
Answer: GCF of Numerators as per given numbers 96/205, 18/747, 387/963 is
GCF of Numerators i.e. for 96,18,387 is 3
LCM of denominators i.e. for 205,747,963 is 16385445.
Thus, GCF of Fractions is 3/16385445.Finally, GCF of Fractions for 96/205, 18/747, 387/963 is 3/16385445.