Use our free GCF of Fractions Calculator tool to compute the GCF of 193/534, 494/928 i.e 1/247776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 193/534, 494/928.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/534,494/928
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 193/534,494/928, numerators are 193,494
Denominators are 534,928
The GCF of 193,494 is 1 .
LCM of 534,928 is 247776.
The greatest common factor of 193/534,494/928 = [GCF of 193,494]/[LCM of 534,928]= 1/247776
Therefore, the GCF of 193/534,494/928 is 1/247776.
To find the highest common factor of 193,494, we have to find the factors of both numbers and list the highest common factor.
The factors of 193 are 1, 193
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The HCF of 193,494 is 1.
Lets's calculate GCF of 193,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 193
:1,193
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 193,494 . The biggest common factor number is the GCF number.
So the greatest common factor 193,494 is 1.
Lets's calculate LCM of 534,928
2 | 534, 928 |
267, 464 |
∴ So the LCM of the given numbers is 2 x 267 x 464 = 247776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247776
Therefore, the GCF of Fractions 193/534,494/928 is 1/247776
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 534,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,928) x common factors =2 x 1 = 2
LCM(534,928) = ( 534 × 928 ) / 2
LCM(534,928) = 495552 / 2
LCM(534,928) = 247776
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 193,494?
The HCF of 193,494 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 193/534, 494/928?
Answer: GCF of Numerators as per given numbers 193/534, 494/928 is
GCF of Numerators i.e. for 193,494 is 1
LCM of denominators i.e. for 534,928 is 247776.
Thus, GCF of Fractions is 1/247776.Finally, GCF of Fractions for 193/534, 494/928 is 1/247776.