Use our free GCF of Fractions Calculator tool to compute the GCF of 442/589, 193/248 i.e 1/4712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/589, 193/248.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/589,193/248
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 442/589,193/248, numerators are 442,193
Denominators are 589,248
The GCF of 442,193 is 1 .
LCM of 589,248 is 4712.
The greatest common factor of 442/589,193/248 = [GCF of 442,193]/[LCM of 589,248]= 1/4712
Therefore, the GCF of 442/589,193/248 is 1/4712.
To find the highest common factor of 442,193, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 193 are 1, 193
The HCF of 442,193 is 1.
Lets's calculate GCF of 442,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 193
:1,193
Greatest Common Factor
We found the factors 442,193 . The biggest common factor number is the GCF number.
So the greatest common factor 442,193 is 1.
Lets's calculate LCM of 589,248
31 | 589, 248 |
19, 8 |
∴ So the LCM of the given numbers is 31 x 19 x 8 = 4712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4712
Therefore, the GCF of Fractions 442/589,193/248 is 1/4712
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 589,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,248) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(589,248) x common factors =31 x 1 = 31
LCM(589,248) = ( 589 × 248 ) / 31
LCM(589,248) = 146072 / 31
LCM(589,248) = 4712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 442,193?
The HCF of 442,193 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 442/589, 193/248?
Answer: GCF of Numerators as per given numbers 442/589, 193/248 is
GCF of Numerators i.e. for 442,193 is 1
LCM of denominators i.e. for 589,248 is 4712.
Thus, GCF of Fractions is 1/4712.Finally, GCF of Fractions for 442/589, 193/248 is 1/4712.