Use our free GCF of Fractions Calculator tool to compute the GCF of 494/588, 288/338 i.e 2/99372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/588, 288/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/588,288/338
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 494/588,288/338, numerators are 494,288
Denominators are 588,338
The GCF of 494,288 is 2 .
LCM of 588,338 is 99372.
The greatest common factor of 494/588,288/338 = [GCF of 494,288]/[LCM of 588,338]= 2/99372
Therefore, the GCF of 494/588,288/338 is 2/99372.
To find the highest common factor of 494,288, 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 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 494,288 is 2.
Lets's calculate GCF of 494,288
2 | 494, 288 |
247, 144 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 494,288 . The biggest common factor number is the GCF number.
So the greatest common factor 494,288 is 2.
Lets's calculate LCM of 588,338
2 | 588, 338 |
294, 169 |
∴ So the LCM of the given numbers is 2 x 294 x 169 = 99372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99372
Therefore, the GCF of Fractions 494/588,288/338 is 2/99372
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 588,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,338) x common factors =2 x 1 = 2
LCM(588,338) = ( 588 × 338 ) / 2
LCM(588,338) = 198744 / 2
LCM(588,338) = 99372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 494,288?
The HCF of 494,288 is 2
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 494/588, 288/338?
Answer: GCF of Numerators as per given numbers 494/588, 288/338 is
GCF of Numerators i.e. for 494,288 is 2
LCM of denominators i.e. for 588,338 is 99372.
Thus, GCF of Fractions is 2/99372.Finally, GCF of Fractions for 494/588, 288/338 is 2/99372.