Use our free GCF of Fractions Calculator tool to compute the GCF of 66/325, 330/855, 429/824 i.e 33/45793800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/325, 330/855, 429/824.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/325,330/855,429/824
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 66/325,330/855,429/824, numerators are 66,330,429
Denominators are 325,855,824
The GCF of 66,330,429 is 33 .
LCM of 325,855,824 is 45793800.
The greatest common factor of 66/325,330/855,429/824 = [GCF of 66,330,429]/[LCM of 325,855,824]= 33/45793800
Therefore, the GCF of 66/325,330/855,429/824 is 33/45793800.
To find the highest common factor of 66,330,429, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The HCF of 66,330,429 is 33.
Lets's calculate GCF of 66,330,429
3 | 66, 330, 429 |
11 | 22, 110, 143 |
2, 10, 13 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 66,330,429 . The biggest common factor number is the GCF number.
So the greatest common factor 66,330,429 is 33.
Lets's calculate LCM of 325,855,824
5 | 325, 855, 824 |
65, 171, 824 |
∴ So the LCM of the given numbers is 5 x 65 x 171 x 824 = 45793800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/45793800
Therefore, the GCF of Fractions 66/325,330/855,429/824 is 33/45793800
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 325,855,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,855,824) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(325,855,824) x common factors =1 x 5 = 5
LCM(325,855,824) = ( 325 × 855 × 824 ) / 5
LCM(325,855,824) = 228969000 / 5
LCM(325,855,824) = 45793800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,330,429?
The HCF of 66,330,429 is 33
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 66/325, 330/855, 429/824?
Answer: GCF of Numerators as per given numbers 66/325, 330/855, 429/824 is
GCF of Numerators i.e. for 66,330,429 is 33
LCM of denominators i.e. for 325,855,824 is 45793800.
Thus, GCF of Fractions is 33/45793800.Finally, GCF of Fractions for 66/325, 330/855, 429/824 is 33/45793800.