GCF of 489/581, 2447/1254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 489/581, 2447/1254 i.e 1/728574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/581, 2447/1254.
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 489/581,2447/1254?
Given fractions are 489/581,2447/1254
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 489/581,2447/1254, numerators are 489,2447
Denominators are 581,1254
The GCF of 489,2447 is 1 .
LCM of 581,1254 is 728574.
The greatest common factor of 489/581,2447/1254 = [GCF of 489,2447]/[LCM of 581,1254]= 1/728574
Therefore, the GCF of 489/581,2447/1254 is 1/728574.
To find the highest common factor of 489,2447, 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 2447 are 1, 2447
The HCF of 489,2447 is 1.
Lets's calculate GCF of 489,2447
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 489,2447 By Matching Biggest Common Factor Method
Now, list down the factors of 489
:1,3,163,489
Now, list down the factors of 2447
:1,2447
Greatest Common Factor
We found the factors 489,2447 . The biggest common factor number is the GCF number.
So the greatest common factor 489,2447 is 1.
Lets's calculate LCM of 581,1254
Given numbers has no common factors except 1. So, there LCM is their product i.e 728574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728574
Therefore, the GCF of Fractions 489/581,2447/1254 is 1/728574
Least Common Multiple of 581,1254 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 581,1254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,1254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,1254) x common factors =1 x 1 = 1
LCM(581,1254) = ( 581 × 1254 ) / 1
LCM(581,1254) = 728574 / 1
LCM(581,1254) = 728574
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 489/581, 2447/1254
1. What is the HCF of 489,2447?
The HCF of 489,2447 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 489/581, 2447/1254?
Answer: GCF of Numerators as per given numbers 489/581, 2447/1254 is
GCF of Numerators i.e. for 489,2447 is 1
LCM of denominators i.e. for 581,1254 is 728574.
Thus, GCF of Fractions is 1/728574.Finally, GCF of Fractions for 489/581, 2447/1254 is 1/728574.