Use our free GCF of Fractions Calculator tool to compute the GCF of 20/40, 593/45, 483/601 i.e 1/216360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/40, 593/45, 483/601.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/40,593/45,483/601
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 20/40,593/45,483/601, numerators are 20,593,483
Denominators are 40,45,601
The GCF of 20,593,483 is 1 .
LCM of 40,45,601 is 216360.
The greatest common factor of 20/40,593/45,483/601 = [GCF of 20,593,483]/[LCM of 40,45,601]= 1/216360
Therefore, the GCF of 20/40,593/45,483/601 is 1/216360.
To find the highest common factor of 20,593,483, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 593 are 1, 593
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 20,593,483 is 1.
Lets's calculate GCF of 20,593,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 593
:1,593
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 20,593,483 . The biggest common factor number is the GCF number.
So the greatest common factor 20,593,483 is 1.
Lets's calculate LCM of 40,45,601
5 | 40, 45, 601 |
8, 9, 601 |
∴ So the LCM of the given numbers is 5 x 8 x 9 x 601 = 216360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216360
Therefore, the GCF of Fractions 20/40,593/45,483/601 is 1/216360
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 40,45,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,45,601) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(40,45,601) x common factors =1 x 5 = 5
LCM(40,45,601) = ( 40 × 45 × 601 ) / 5
LCM(40,45,601) = 1081800 / 5
LCM(40,45,601) = 216360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,593,483?
The HCF of 20,593,483 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 20/40, 593/45, 483/601?
Answer: GCF of Numerators as per given numbers 20/40, 593/45, 483/601 is
GCF of Numerators i.e. for 20,593,483 is 1
LCM of denominators i.e. for 40,45,601 is 216360.
Thus, GCF of Fractions is 1/216360.Finally, GCF of Fractions for 20/40, 593/45, 483/601 is 1/216360.