Use our free GCF of Fractions Calculator tool to compute the GCF of 487/606, 609/284 i.e 1/86052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/606, 609/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/606,609/284
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 487/606,609/284, numerators are 487,609
Denominators are 606,284
The GCF of 487,609 is 1 .
LCM of 606,284 is 86052.
The greatest common factor of 487/606,609/284 = [GCF of 487,609]/[LCM of 606,284]= 1/86052
Therefore, the GCF of 487/606,609/284 is 1/86052.
To find the highest common factor of 487,609, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The HCF of 487,609 is 1.
Lets's calculate GCF of 487,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 487
:1,487
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 487,609 . The biggest common factor number is the GCF number.
So the greatest common factor 487,609 is 1.
Lets's calculate LCM of 606,284
2 | 606, 284 |
303, 142 |
∴ So the LCM of the given numbers is 2 x 303 x 142 = 86052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86052
Therefore, the GCF of Fractions 487/606,609/284 is 1/86052
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 606,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,284) x common factors =2 x 1 = 2
LCM(606,284) = ( 606 × 284 ) / 2
LCM(606,284) = 172104 / 2
LCM(606,284) = 86052
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 487,609?
The HCF of 487,609 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 487/606, 609/284?
Answer: GCF of Numerators as per given numbers 487/606, 609/284 is
GCF of Numerators i.e. for 487,609 is 1
LCM of denominators i.e. for 606,284 is 86052.
Thus, GCF of Fractions is 1/86052.Finally, GCF of Fractions for 487/606, 609/284 is 1/86052.