Use our free GCF of Fractions Calculator tool to compute the GCF of 96/91, 900/26, 777/462 i.e 3/6006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/91, 900/26, 777/462.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/91,900/26,777/462
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 96/91,900/26,777/462, numerators are 96,900,777
Denominators are 91,26,462
The GCF of 96,900,777 is 3 .
LCM of 91,26,462 is 6006.
The greatest common factor of 96/91,900/26,777/462 = [GCF of 96,900,777]/[LCM of 91,26,462]= 3/6006
Therefore, the GCF of 96/91,900/26,777/462 is 3/6006.
To find the highest common factor of 96,900,777, 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 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The HCF of 96,900,777 is 3.
Lets's calculate GCF of 96,900,777
3 | 96, 900, 777 |
32, 300, 259 |
∴ 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 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 96,900,777 . The biggest common factor number is the GCF number.
So the greatest common factor 96,900,777 is 3.
Lets's calculate LCM of 91,26,462
2 | 91, 26, 462 |
7 | 91, 13, 231 |
13 | 13, 13, 33 |
1, 1, 33 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 1 x 33 = 6006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6006
Therefore, the GCF of Fractions 96/91,900/26,777/462 is 3/6006
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 91,26,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,26,462) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(91,26,462) x common factors =1 x 182 = 182
LCM(91,26,462) = ( 91 × 26 × 462 ) / 182
LCM(91,26,462) = 1093092 / 182
LCM(91,26,462) = 6006
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,900,777?
The HCF of 96,900,777 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 96/91, 900/26, 777/462?
Answer: GCF of Numerators as per given numbers 96/91, 900/26, 777/462 is
GCF of Numerators i.e. for 96,900,777 is 3
LCM of denominators i.e. for 91,26,462 is 6006.
Thus, GCF of Fractions is 3/6006.Finally, GCF of Fractions for 96/91, 900/26, 777/462 is 3/6006.