Use our free GCF of Fractions Calculator tool to compute the GCF of 303/130, 588/515 i.e 3/13390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/130, 588/515.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/130,588/515
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 303/130,588/515, numerators are 303,588
Denominators are 130,515
The GCF of 303,588 is 3 .
LCM of 130,515 is 13390.
The greatest common factor of 303/130,588/515 = [GCF of 303,588]/[LCM of 130,515]= 3/13390
Therefore, the GCF of 303/130,588/515 is 3/13390.
To find the highest common factor of 303,588, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
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 303,588 is 3.
Lets's calculate GCF of 303,588
3 | 303, 588 |
101, 196 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 303
:1,3,101,303
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 303,588 . The biggest common factor number is the GCF number.
So the greatest common factor 303,588 is 3.
Lets's calculate LCM of 130,515
5 | 130, 515 |
26, 103 |
∴ So the LCM of the given numbers is 5 x 26 x 103 = 13390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13390
Therefore, the GCF of Fractions 303/130,588/515 is 3/13390
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 130,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,515) x common factors =5 x 1 = 5
LCM(130,515) = ( 130 × 515 ) / 5
LCM(130,515) = 66950 / 5
LCM(130,515) = 13390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 303,588?
The HCF of 303,588 is 3
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 303/130, 588/515?
Answer: GCF of Numerators as per given numbers 303/130, 588/515 is
GCF of Numerators i.e. for 303,588 is 3
LCM of denominators i.e. for 130,515 is 13390.
Thus, GCF of Fractions is 3/13390.Finally, GCF of Fractions for 303/130, 588/515 is 3/13390.