Use our free GCF of Fractions Calculator tool to compute the GCF of 11/81, 820/45, 609/824 i.e 1/333720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/81, 820/45, 609/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/81,820/45,609/824
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 11/81,820/45,609/824, numerators are 11,820,609
Denominators are 81,45,824
The GCF of 11,820,609 is 1 .
LCM of 81,45,824 is 333720.
The greatest common factor of 11/81,820/45,609/824 = [GCF of 11,820,609]/[LCM of 81,45,824]= 1/333720
Therefore, the GCF of 11/81,820/45,609/824 is 1/333720.
To find the highest common factor of 11,820,609, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The HCF of 11,820,609 is 1.
Lets's calculate GCF of 11,820,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 11,820,609 . The biggest common factor number is the GCF number.
So the greatest common factor 11,820,609 is 1.
Lets's calculate LCM of 81,45,824
3 | 81, 45, 824 |
3 | 27, 15, 824 |
9, 5, 824 |
∴ So the LCM of the given numbers is 3 x 3 x 9 x 5 x 824 = 333720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333720
Therefore, the GCF of Fractions 11/81,820/45,609/824 is 1/333720
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 81,45,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,45,824) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(81,45,824) x common factors =1 x 9 = 9
LCM(81,45,824) = ( 81 × 45 × 824 ) / 9
LCM(81,45,824) = 3003480 / 9
LCM(81,45,824) = 333720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,820,609?
The HCF of 11,820,609 is 1
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 11/81, 820/45, 609/824?
Answer: GCF of Numerators as per given numbers 11/81, 820/45, 609/824 is
GCF of Numerators i.e. for 11,820,609 is 1
LCM of denominators i.e. for 81,45,824 is 333720.
Thus, GCF of Fractions is 1/333720.Finally, GCF of Fractions for 11/81, 820/45, 609/824 is 1/333720.