Use our free GCF of Fractions Calculator tool to compute the GCF of 483/108, 398/218 i.e 1/11772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/108, 398/218.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/108,398/218
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 483/108,398/218, numerators are 483,398
Denominators are 108,218
The GCF of 483,398 is 1 .
LCM of 108,218 is 11772.
The greatest common factor of 483/108,398/218 = [GCF of 483,398]/[LCM of 108,218]= 1/11772
Therefore, the GCF of 483/108,398/218 is 1/11772.
To find the highest common factor of 483,398, 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 398 are 1, 2, 199, 398
The HCF of 483,398 is 1.
Lets's calculate GCF of 483,398
∴ 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 398
:1,2,199,398
Greatest Common Factor
We found the factors 483,398 . The biggest common factor number is the GCF number.
So the greatest common factor 483,398 is 1.
Lets's calculate LCM of 108,218
2 | 108, 218 |
54, 109 |
∴ So the LCM of the given numbers is 2 x 54 x 109 = 11772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11772
Therefore, the GCF of Fractions 483/108,398/218 is 1/11772
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 108,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(108,218) x common factors =2 x 1 = 2
LCM(108,218) = ( 108 × 218 ) / 2
LCM(108,218) = 23544 / 2
LCM(108,218) = 11772
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 483,398?
The HCF of 483,398 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 483/108, 398/218?
Answer: GCF of Numerators as per given numbers 483/108, 398/218 is
GCF of Numerators i.e. for 483,398 is 1
LCM of denominators i.e. for 108,218 is 11772.
Thus, GCF of Fractions is 1/11772.Finally, GCF of Fractions for 483/108, 398/218 is 1/11772.