Use our free GCF of Fractions Calculator tool to compute the GCF of 489/994, 914/290 i.e 1/144130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/994, 914/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/994,914/290
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 489/994,914/290, numerators are 489,914
Denominators are 994,290
The GCF of 489,914 is 1 .
LCM of 994,290 is 144130.
The greatest common factor of 489/994,914/290 = [GCF of 489,914]/[LCM of 994,290]= 1/144130
Therefore, the GCF of 489/994,914/290 is 1/144130.
To find the highest common factor of 489,914, 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 914 are 1, 2, 457, 914
The HCF of 489,914 is 1.
Lets's calculate GCF of 489,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 489
:1,3,163,489
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 489,914 . The biggest common factor number is the GCF number.
So the greatest common factor 489,914 is 1.
Lets's calculate LCM of 994,290
2 | 994, 290 |
497, 145 |
∴ So the LCM of the given numbers is 2 x 497 x 145 = 144130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144130
Therefore, the GCF of Fractions 489/994,914/290 is 1/144130
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 994,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,290) x common factors =2 x 1 = 2
LCM(994,290) = ( 994 × 290 ) / 2
LCM(994,290) = 288260 / 2
LCM(994,290) = 144130
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 489,914?
The HCF of 489,914 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 489/994, 914/290?
Answer: GCF of Numerators as per given numbers 489/994, 914/290 is
GCF of Numerators i.e. for 489,914 is 1
LCM of denominators i.e. for 994,290 is 144130.
Thus, GCF of Fractions is 1/144130.Finally, GCF of Fractions for 489/994, 914/290 is 1/144130.