Use our free GCF of Fractions Calculator tool to compute the GCF of 71/483, 415/545, 505/305 i.e 1/16057335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/483, 415/545, 505/305.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/483,415/545,505/305
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 71/483,415/545,505/305, numerators are 71,415,505
Denominators are 483,545,305
The GCF of 71,415,505 is 1 .
LCM of 483,545,305 is 16057335.
The greatest common factor of 71/483,415/545,505/305 = [GCF of 71,415,505]/[LCM of 483,545,305]= 1/16057335
Therefore, the GCF of 71/483,415/545,505/305 is 1/16057335.
To find the highest common factor of 71,415,505, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 415 are 1, 5, 83, 415
The factors of 505 are 1, 5, 101, 505
The HCF of 71,415,505 is 1.
Lets's calculate GCF of 71,415,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 505
:1,5,101,505
Greatest Common Factor
We found the factors 71,415,505 . The biggest common factor number is the GCF number.
So the greatest common factor 71,415,505 is 1.
Lets's calculate LCM of 483,545,305
5 | 483, 545, 305 |
483, 109, 61 |
∴ So the LCM of the given numbers is 5 x 483 x 109 x 61 = 16057335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16057335
Therefore, the GCF of Fractions 71/483,415/545,505/305 is 1/16057335
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 483,545,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,545,305) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(483,545,305) x common factors =1 x 5 = 5
LCM(483,545,305) = ( 483 × 545 × 305 ) / 5
LCM(483,545,305) = 80286675 / 5
LCM(483,545,305) = 16057335
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,415,505?
The HCF of 71,415,505 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 71/483, 415/545, 505/305?
Answer: GCF of Numerators as per given numbers 71/483, 415/545, 505/305 is
GCF of Numerators i.e. for 71,415,505 is 1
LCM of denominators i.e. for 483,545,305 is 16057335.
Thus, GCF of Fractions is 1/16057335.Finally, GCF of Fractions for 71/483, 415/545, 505/305 is 1/16057335.