Use our free GCF of Fractions Calculator tool to compute the GCF of 66/810, 423/675, 217/618 i.e 1/417150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/810, 423/675, 217/618.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/810,423/675,217/618
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 66/810,423/675,217/618, numerators are 66,423,217
Denominators are 810,675,618
The GCF of 66,423,217 is 1 .
LCM of 810,675,618 is 417150.
The greatest common factor of 66/810,423/675,217/618 = [GCF of 66,423,217]/[LCM of 810,675,618]= 1/417150
Therefore, the GCF of 66/810,423/675,217/618 is 1/417150.
To find the highest common factor of 66,423,217, 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 423 are 1, 3, 9, 47, 141, 423
The factors of 217 are 1, 7, 31, 217
The HCF of 66,423,217 is 1.
Lets's calculate GCF of 66,423,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 66,423,217 . The biggest common factor number is the GCF number.
So the greatest common factor 66,423,217 is 1.
Lets's calculate LCM of 810,675,618
2 | 810, 675, 618 |
3 | 405, 675, 309 |
3 | 135, 225, 103 |
3 | 45, 75, 103 |
5 | 15, 25, 103 |
3, 5, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 3 x 5 x 103 = 417150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417150
Therefore, the GCF of Fractions 66/810,423/675,217/618 is 1/417150
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 810,675,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,675,618) = 3
common factors(in case of two or more numbers have common factors) = 270
GCF(810,675,618) x common factors =3 x 270 = 810
LCM(810,675,618) = ( 810 × 675 × 618 ) / 810
LCM(810,675,618) = 337891500 / 810
LCM(810,675,618) = 417150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,423,217?
The HCF of 66,423,217 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 66/810, 423/675, 217/618?
Answer: GCF of Numerators as per given numbers 66/810, 423/675, 217/618 is
GCF of Numerators i.e. for 66,423,217 is 1
LCM of denominators i.e. for 810,675,618 is 417150.
Thus, GCF of Fractions is 1/417150.Finally, GCF of Fractions for 66/810, 423/675, 217/618 is 1/417150.