Use our free GCF of Fractions Calculator tool to compute the GCF of 290/397, 588/285 i.e 2/113145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/397, 588/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/397,588/285
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 290/397,588/285, numerators are 290,588
Denominators are 397,285
The GCF of 290,588 is 2 .
LCM of 397,285 is 113145.
The greatest common factor of 290/397,588/285 = [GCF of 290,588]/[LCM of 397,285]= 2/113145
Therefore, the GCF of 290/397,588/285 is 2/113145.
To find the highest common factor of 290,588, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
The HCF of 290,588 is 2.
Lets's calculate GCF of 290,588
2 | 290, 588 |
145, 294 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 588
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 290,588 . The biggest common factor number is the GCF number.
So the greatest common factor 290,588 is 2.
Lets's calculate LCM of 397,285
Given numbers has no common factors except 1. So, there LCM is their product i.e 113145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113145
Therefore, the GCF of Fractions 290/397,588/285 is 2/113145
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 397,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,285) x common factors =1 x 1 = 1
LCM(397,285) = ( 397 × 285 ) / 1
LCM(397,285) = 113145 / 1
LCM(397,285) = 113145
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,588?
The HCF of 290,588 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 290/397, 588/285?
Answer: GCF of Numerators as per given numbers 290/397, 588/285 is
GCF of Numerators i.e. for 290,588 is 2
LCM of denominators i.e. for 397,285 is 113145.
Thus, GCF of Fractions is 2/113145.Finally, GCF of Fractions for 290/397, 588/285 is 2/113145.