Use our free GCF of Fractions Calculator tool to compute the GCF of 973/595, 182/493 i.e 7/17255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/595, 182/493.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 973/595,182/493
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 973/595,182/493, numerators are 973,182
Denominators are 595,493
The GCF of 973,182 is 7 .
LCM of 595,493 is 17255.
The greatest common factor of 973/595,182/493 = [GCF of 973,182]/[LCM of 595,493]= 7/17255
Therefore, the GCF of 973/595,182/493 is 7/17255.
To find the highest common factor of 973,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 973 are 1, 7, 139, 973
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 973,182 is 7.
Lets's calculate GCF of 973,182
7 | 973, 182 |
139, 26 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 973,182 . The biggest common factor number is the GCF number.
So the greatest common factor 973,182 is 7.
Lets's calculate LCM of 595,493
17 | 595, 493 |
35, 29 |
∴ So the LCM of the given numbers is 17 x 35 x 29 = 17255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/17255
Therefore, the GCF of Fractions 973/595,182/493 is 7/17255
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 595,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,493) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(595,493) x common factors =17 x 1 = 17
LCM(595,493) = ( 595 × 493 ) / 17
LCM(595,493) = 293335 / 17
LCM(595,493) = 17255
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 973,182?
The HCF of 973,182 is 7
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 973/595, 182/493?
Answer: GCF of Numerators as per given numbers 973/595, 182/493 is
GCF of Numerators i.e. for 973,182 is 7
LCM of denominators i.e. for 595,493 is 17255.
Thus, GCF of Fractions is 7/17255.Finally, GCF of Fractions for 973/595, 182/493 is 7/17255.