Use our free GCF of Fractions Calculator tool to compute the GCF of 666/168, 819/504 i.e 9/504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/168, 819/504.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/168,819/504
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 666/168,819/504, numerators are 666,819
Denominators are 168,504
The GCF of 666,819 is 9 .
LCM of 168,504 is 504.
The greatest common factor of 666/168,819/504 = [GCF of 666,819]/[LCM of 168,504]= 9/504
Therefore, the GCF of 666/168,819/504 is 9/504.
To find the highest common factor of 666,819, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The HCF of 666,819 is 9.
Lets's calculate GCF of 666,819
3 | 666, 819 |
3 | 222, 273 |
74, 91 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 666,819 . The biggest common factor number is the GCF number.
So the greatest common factor 666,819 is 9.
Lets's calculate LCM of 168,504
2 | 168, 504 |
2 | 84, 252 |
2 | 42, 126 |
3 | 21, 63 |
7 | 7, 21 |
1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 3 = 504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/504
Therefore, the GCF of Fractions 666/168,819/504 is 9/504
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 168,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,504) = 168
common factors(in case of two or more numbers have common factors) = 1
GCF(168,504) x common factors =168 x 1 = 168
LCM(168,504) = ( 168 × 504 ) / 168
LCM(168,504) = 84672 / 168
LCM(168,504) = 504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 666,819?
The HCF of 666,819 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 666/168, 819/504?
Answer: GCF of Numerators as per given numbers 666/168, 819/504 is
GCF of Numerators i.e. for 666,819 is 9
LCM of denominators i.e. for 168,504 is 504.
Thus, GCF of Fractions is 9/504.Finally, GCF of Fractions for 666/168, 819/504 is 9/504.