GCF of 819/419, 489/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 819/419, 489/605 i.e 3/253495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/419, 489/605.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 819/419,489/605?
Given fractions are 819/419,489/605
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 819/419,489/605, numerators are 819,489
Denominators are 419,605
The GCF of 819,489 is 3 .
LCM of 419,605 is 253495.
The greatest common factor of 819/419,489/605 = [GCF of 819,489]/[LCM of 419,605]= 3/253495
Therefore, the GCF of 819/419,489/605 is 3/253495.
To find the highest common factor of 819,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 489 are 1, 3, 163, 489
The HCF of 819,489 is 3.
Lets's calculate GCF of 819,489
| 3 | 819, 489 |
| 273, 163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 819,489 By Matching Biggest Common Factor Method
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 819,489 . The biggest common factor number is the GCF number.
So the greatest common factor 819,489 is 3.
Lets's calculate LCM of 419,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 253495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/253495
Therefore, the GCF of Fractions 819/419,489/605 is 3/253495
Least Common Multiple of 419,605 with GCF Formula
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 419,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,605) x common factors =1 x 1 = 1
LCM(419,605) = ( 419 × 605 ) / 1
LCM(419,605) = 253495 / 1
LCM(419,605) = 253495
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FAQs on GCF of Fractions of 819/419, 489/605
1. What is the HCF of 819,489?
The HCF of 819,489 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 819/419, 489/605?
Answer: GCF of Numerators as per given numbers 819/419, 489/605 is
GCF of Numerators i.e. for 819,489 is 3
LCM of denominators i.e. for 419,605 is 253495.
Thus, GCF of Fractions is 3/253495.Finally, GCF of Fractions for 819/419, 489/605 is 3/253495.