Use our free GCF of Fractions Calculator tool to compute the GCF of 423/215, 483/233 i.e 3/50095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/215, 483/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/215,483/233
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 423/215,483/233, numerators are 423,483
Denominators are 215,233
The GCF of 423,483 is 3 .
LCM of 215,233 is 50095.
The greatest common factor of 423/215,483/233 = [GCF of 423,483]/[LCM of 215,233]= 3/50095
Therefore, the GCF of 423/215,483/233 is 3/50095.
To find the highest common factor of 423,483, 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 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 423,483 is 3.
Lets's calculate GCF of 423,483
3 | 423, 483 |
141, 161 |
∴ 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 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 423,483 . The biggest common factor number is the GCF number.
So the greatest common factor 423,483 is 3.
Lets's calculate LCM of 215,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 50095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50095
Therefore, the GCF of Fractions 423/215,483/233 is 3/50095
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 215,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,233) x common factors =1 x 1 = 1
LCM(215,233) = ( 215 × 233 ) / 1
LCM(215,233) = 50095 / 1
LCM(215,233) = 50095
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,483?
The HCF of 423,483 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 423/215, 483/233?
Answer: GCF of Numerators as per given numbers 423/215, 483/233 is
GCF of Numerators i.e. for 423,483 is 3
LCM of denominators i.e. for 215,233 is 50095.
Thus, GCF of Fractions is 3/50095.Finally, GCF of Fractions for 423/215, 483/233 is 3/50095.