Use our free GCF of Fractions Calculator tool to compute the GCF of 81/709, 900/998, 468/382 i.e 9/135148162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/709, 900/998, 468/382.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/709,900/998,468/382
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 81/709,900/998,468/382, numerators are 81,900,468
Denominators are 709,998,382
The GCF of 81,900,468 is 9 .
LCM of 709,998,382 is 135148162.
The greatest common factor of 81/709,900/998,468/382 = [GCF of 81,900,468]/[LCM of 709,998,382]= 9/135148162
Therefore, the GCF of 81/709,900/998,468/382 is 9/135148162.
To find the highest common factor of 81,900,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
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 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 81,900,468 is 9.
Lets's calculate GCF of 81,900,468
3 | 81, 900, 468 |
3 | 27, 300, 156 |
9, 100, 52 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 81
:1,3,9,27,81
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 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 81,900,468 . The biggest common factor number is the GCF number.
So the greatest common factor 81,900,468 is 9.
Lets's calculate LCM of 709,998,382
2 | 709, 998, 382 |
709, 499, 191 |
∴ So the LCM of the given numbers is 2 x 709 x 499 x 191 = 135148162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/135148162
Therefore, the GCF of Fractions 81/709,900/998,468/382 is 9/135148162
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 709,998,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,998,382) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(709,998,382) x common factors =1 x 2 = 2
LCM(709,998,382) = ( 709 × 998 × 382 ) / 2
LCM(709,998,382) = 270296324 / 2
LCM(709,998,382) = 135148162
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,900,468?
The HCF of 81,900,468 is 9
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 81/709, 900/998, 468/382?
Answer: GCF of Numerators as per given numbers 81/709, 900/998, 468/382 is
GCF of Numerators i.e. for 81,900,468 is 9
LCM of denominators i.e. for 709,998,382 is 135148162.
Thus, GCF of Fractions is 9/135148162.Finally, GCF of Fractions for 81/709, 900/998, 468/382 is 9/135148162.