Use our free GCF of Fractions Calculator tool to compute the GCF of 423/572, 579/734 i.e 3/209924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/572, 579/734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/572,579/734
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 423/572,579/734, numerators are 423,579
Denominators are 572,734
The GCF of 423,579 is 3 .
LCM of 572,734 is 209924.
The greatest common factor of 423/572,579/734 = [GCF of 423,579]/[LCM of 572,734]= 3/209924
Therefore, the GCF of 423/572,579/734 is 3/209924.
To find the highest common factor of 423,579, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 579 are 1, 3, 193, 579
The HCF of 423,579 is 3.
Lets's calculate GCF of 423,579
3 | 423, 579 |
141, 193 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 579
:1,3,193,579
Greatest Common Factor
We found the factors 423,579 . The biggest common factor number is the GCF number.
So the greatest common factor 423,579 is 3.
Lets's calculate LCM of 572,734
2 | 572, 734 |
286, 367 |
∴ So the LCM of the given numbers is 2 x 286 x 367 = 209924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/209924
Therefore, the GCF of Fractions 423/572,579/734 is 3/209924
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 572,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,734) x common factors =2 x 1 = 2
LCM(572,734) = ( 572 × 734 ) / 2
LCM(572,734) = 419848 / 2
LCM(572,734) = 209924
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,579?
The HCF of 423,579 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 423/572, 579/734?
Answer: GCF of Numerators as per given numbers 423/572, 579/734 is
GCF of Numerators i.e. for 423,579 is 3
LCM of denominators i.e. for 572,734 is 209924.
Thus, GCF of Fractions is 3/209924.Finally, GCF of Fractions for 423/572, 579/734 is 3/209924.