Use our free GCF of Fractions Calculator tool to compute the GCF of 483/320, 669/426 i.e 3/68160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/320, 669/426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/320,669/426
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 483/320,669/426, numerators are 483,669
Denominators are 320,426
The GCF of 483,669 is 3 .
LCM of 320,426 is 68160.
The greatest common factor of 483/320,669/426 = [GCF of 483,669]/[LCM of 320,426]= 3/68160
Therefore, the GCF of 483/320,669/426 is 3/68160.
To find the highest common factor of 483,669, we have to find the factors of both numbers and list the highest common factor.
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The factors of 669 are 1, 3, 223, 669
The HCF of 483,669 is 3.
Lets's calculate GCF of 483,669
3 | 483, 669 |
161, 223 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 669
:1,3,223,669
Greatest Common Factor
We found the factors 483,669 . The biggest common factor number is the GCF number.
So the greatest common factor 483,669 is 3.
Lets's calculate LCM of 320,426
2 | 320, 426 |
160, 213 |
∴ So the LCM of the given numbers is 2 x 160 x 213 = 68160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68160
Therefore, the GCF of Fractions 483/320,669/426 is 3/68160
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 320,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,426) x common factors =2 x 1 = 2
LCM(320,426) = ( 320 × 426 ) / 2
LCM(320,426) = 136320 / 2
LCM(320,426) = 68160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 483,669?
The HCF of 483,669 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 483/320, 669/426?
Answer: GCF of Numerators as per given numbers 483/320, 669/426 is
GCF of Numerators i.e. for 483,669 is 3
LCM of denominators i.e. for 320,426 is 68160.
Thus, GCF of Fractions is 3/68160.Finally, GCF of Fractions for 483/320, 669/426 is 3/68160.