Use our free GCF of Fractions Calculator tool to compute the GCF of 489/41, 663/491 i.e 3/20131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/41, 663/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/41,663/491
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 489/41,663/491, numerators are 489,663
Denominators are 41,491
The GCF of 489,663 is 3 .
LCM of 41,491 is 20131.
The greatest common factor of 489/41,663/491 = [GCF of 489,663]/[LCM of 41,491]= 3/20131
Therefore, the GCF of 489/41,663/491 is 3/20131.
To find the highest common factor of 489,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 489 are 1, 3, 163, 489
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 489,663 is 3.
Lets's calculate GCF of 489,663
3 | 489, 663 |
163, 221 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 489
:1,3,163,489
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 489,663 . The biggest common factor number is the GCF number.
So the greatest common factor 489,663 is 3.
Lets's calculate LCM of 41,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 20131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20131
Therefore, the GCF of Fractions 489/41,663/491 is 3/20131
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 41,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,491) x common factors =1 x 1 = 1
LCM(41,491) = ( 41 × 491 ) / 1
LCM(41,491) = 20131 / 1
LCM(41,491) = 20131
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 489,663?
The HCF of 489,663 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 489/41, 663/491?
Answer: GCF of Numerators as per given numbers 489/41, 663/491 is
GCF of Numerators i.e. for 489,663 is 3
LCM of denominators i.e. for 41,491 is 20131.
Thus, GCF of Fractions is 3/20131.Finally, GCF of Fractions for 489/41, 663/491 is 3/20131.