Use our free GCF of Fractions Calculator tool to compute the GCF of 629/388, 289/586 i.e 17/113684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/388, 289/586.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/388,289/586
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 629/388,289/586, numerators are 629,289
Denominators are 388,586
The GCF of 629,289 is 17 .
LCM of 388,586 is 113684.
The greatest common factor of 629/388,289/586 = [GCF of 629,289]/[LCM of 388,586]= 17/113684
Therefore, the GCF of 629/388,289/586 is 17/113684.
To find the highest common factor of 629,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 289 are 1, 17, 289
The HCF of 629,289 is 17.
Lets's calculate GCF of 629,289
17 | 629, 289 |
37, 17 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 629,289 . The biggest common factor number is the GCF number.
So the greatest common factor 629,289 is 17.
Lets's calculate LCM of 388,586
2 | 388, 586 |
194, 293 |
∴ So the LCM of the given numbers is 2 x 194 x 293 = 113684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/113684
Therefore, the GCF of Fractions 629/388,289/586 is 17/113684
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 388,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,586) x common factors =2 x 1 = 2
LCM(388,586) = ( 388 × 586 ) / 2
LCM(388,586) = 227368 / 2
LCM(388,586) = 113684
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 629,289?
The HCF of 629,289 is 17
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 629/388, 289/586?
Answer: GCF of Numerators as per given numbers 629/388, 289/586 is
GCF of Numerators i.e. for 629,289 is 17
LCM of denominators i.e. for 388,586 is 113684.
Thus, GCF of Fractions is 17/113684.Finally, GCF of Fractions for 629/388, 289/586 is 17/113684.