Use our free GCF of Fractions Calculator tool to compute the GCF of 39/808, 27/213, 165/369 i.e 3/21168792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/808, 27/213, 165/369.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/808,27/213,165/369
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 39/808,27/213,165/369, numerators are 39,27,165
Denominators are 808,213,369
The GCF of 39,27,165 is 3 .
LCM of 808,213,369 is 21168792.
The greatest common factor of 39/808,27/213,165/369 = [GCF of 39,27,165]/[LCM of 808,213,369]= 3/21168792
Therefore, the GCF of 39/808,27/213,165/369 is 3/21168792.
To find the highest common factor of 39,27,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 27 are 1, 3, 9, 27
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 39,27,165 is 3.
Lets's calculate GCF of 39,27,165
3 | 39, 27, 165 |
13, 9, 55 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 39,27,165 . The biggest common factor number is the GCF number.
So the greatest common factor 39,27,165 is 3.
Lets's calculate LCM of 808,213,369
3 | 808, 213, 369 |
808, 71, 123 |
∴ So the LCM of the given numbers is 3 x 808 x 71 x 123 = 21168792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21168792
Therefore, the GCF of Fractions 39/808,27/213,165/369 is 3/21168792
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 808,213,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,213,369) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(808,213,369) x common factors =1 x 3 = 3
LCM(808,213,369) = ( 808 × 213 × 369 ) / 3
LCM(808,213,369) = 63506376 / 3
LCM(808,213,369) = 21168792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,27,165?
The HCF of 39,27,165 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 39/808, 27/213, 165/369?
Answer: GCF of Numerators as per given numbers 39/808, 27/213, 165/369 is
GCF of Numerators i.e. for 39,27,165 is 3
LCM of denominators i.e. for 808,213,369 is 21168792.
Thus, GCF of Fractions is 3/21168792.Finally, GCF of Fractions for 39/808, 27/213, 165/369 is 3/21168792.