Use our free GCF of Fractions Calculator tool to compute the GCF of 483/474, 578/438 i.e 1/34602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/474, 578/438.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/474,578/438
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 483/474,578/438, numerators are 483,578
Denominators are 474,438
The GCF of 483,578 is 1 .
LCM of 474,438 is 34602.
The greatest common factor of 483/474,578/438 = [GCF of 483,578]/[LCM of 474,438]= 1/34602
Therefore, the GCF of 483/474,578/438 is 1/34602.
To find the highest common factor of 483,578, 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 578 are 1, 2, 17, 34, 289, 578
The HCF of 483,578 is 1.
Lets's calculate GCF of 483,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 483,578 . The biggest common factor number is the GCF number.
So the greatest common factor 483,578 is 1.
Lets's calculate LCM of 474,438
2 | 474, 438 |
3 | 237, 219 |
79, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 73 = 34602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34602
Therefore, the GCF of Fractions 483/474,578/438 is 1/34602
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 474,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,438) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,438) x common factors =6 x 1 = 6
LCM(474,438) = ( 474 × 438 ) / 6
LCM(474,438) = 207612 / 6
LCM(474,438) = 34602
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 483,578?
The HCF of 483,578 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 483/474, 578/438?
Answer: GCF of Numerators as per given numbers 483/474, 578/438 is
GCF of Numerators i.e. for 483,578 is 1
LCM of denominators i.e. for 474,438 is 34602.
Thus, GCF of Fractions is 1/34602.Finally, GCF of Fractions for 483/474, 578/438 is 1/34602.