Use our free GCF of Fractions Calculator tool to compute the GCF of 494/325, 289/575 i.e 1/7475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/325, 289/575.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/325,289/575
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 494/325,289/575, numerators are 494,289
Denominators are 325,575
The GCF of 494,289 is 1 .
LCM of 325,575 is 7475.
The greatest common factor of 494/325,289/575 = [GCF of 494,289]/[LCM of 325,575]= 1/7475
Therefore, the GCF of 494/325,289/575 is 1/7475.
To find the highest common factor of 494,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The factors of 289 are 1, 17, 289
The HCF of 494,289 is 1.
Lets's calculate GCF of 494,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 494,289 . The biggest common factor number is the GCF number.
So the greatest common factor 494,289 is 1.
Lets's calculate LCM of 325,575
5 | 325, 575 |
5 | 65, 115 |
13, 23 |
∴ So the LCM of the given numbers is 5 x 5 x 13 x 23 = 7475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7475
Therefore, the GCF of Fractions 494/325,289/575 is 1/7475
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 325,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,575) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(325,575) x common factors =25 x 1 = 25
LCM(325,575) = ( 325 × 575 ) / 25
LCM(325,575) = 186875 / 25
LCM(325,575) = 7475
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 494,289?
The HCF of 494,289 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 494/325, 289/575?
Answer: GCF of Numerators as per given numbers 494/325, 289/575 is
GCF of Numerators i.e. for 494,289 is 1
LCM of denominators i.e. for 325,575 is 7475.
Thus, GCF of Fractions is 1/7475.Finally, GCF of Fractions for 494/325, 289/575 is 1/7475.