Use our free GCF of Fractions Calculator tool to compute the GCF of 723/486, 597/309 i.e 3/50058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 723/486, 597/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 723/486,597/309
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 723/486,597/309, numerators are 723,597
Denominators are 486,309
The GCF of 723,597 is 3 .
LCM of 486,309 is 50058.
The greatest common factor of 723/486,597/309 = [GCF of 723,597]/[LCM of 486,309]= 3/50058
Therefore, the GCF of 723/486,597/309 is 3/50058.
To find the highest common factor of 723,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 723 are 1, 3, 241, 723
The factors of 597 are 1, 3, 199, 597
The HCF of 723,597 is 3.
Lets's calculate GCF of 723,597
3 | 723, 597 |
241, 199 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 723
:1,3,241,723
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 723,597 . The biggest common factor number is the GCF number.
So the greatest common factor 723,597 is 3.
Lets's calculate LCM of 486,309
3 | 486, 309 |
162, 103 |
∴ So the LCM of the given numbers is 3 x 162 x 103 = 50058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50058
Therefore, the GCF of Fractions 723/486,597/309 is 3/50058
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 486,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(486,309) x common factors =3 x 1 = 3
LCM(486,309) = ( 486 × 309 ) / 3
LCM(486,309) = 150174 / 3
LCM(486,309) = 50058
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 723,597?
The HCF of 723,597 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 723/486, 597/309?
Answer: GCF of Numerators as per given numbers 723/486, 597/309 is
GCF of Numerators i.e. for 723,597 is 3
LCM of denominators i.e. for 486,309 is 50058.
Thus, GCF of Fractions is 3/50058.Finally, GCF of Fractions for 723/486, 597/309 is 3/50058.