Use our free GCF of Fractions Calculator tool to compute the GCF of 473/255, 589/661 i.e 1/168555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 473/255, 589/661.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 473/255,589/661
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 473/255,589/661, numerators are 473,589
Denominators are 255,661
The GCF of 473,589 is 1 .
LCM of 255,661 is 168555.
The greatest common factor of 473/255,589/661 = [GCF of 473,589]/[LCM of 255,661]= 1/168555
Therefore, the GCF of 473/255,589/661 is 1/168555.
To find the highest common factor of 473,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 473 are 1, 11, 43, 473
The factors of 589 are 1, 19, 31, 589
The HCF of 473,589 is 1.
Lets's calculate GCF of 473,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 473
:1,11,43,473
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 473,589 . The biggest common factor number is the GCF number.
So the greatest common factor 473,589 is 1.
Lets's calculate LCM of 255,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 168555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168555
Therefore, the GCF of Fractions 473/255,589/661 is 1/168555
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 255,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,661) x common factors =1 x 1 = 1
LCM(255,661) = ( 255 × 661 ) / 1
LCM(255,661) = 168555 / 1
LCM(255,661) = 168555
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 473,589?
The HCF of 473,589 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 473/255, 589/661?
Answer: GCF of Numerators as per given numbers 473/255, 589/661 is
GCF of Numerators i.e. for 473,589 is 1
LCM of denominators i.e. for 255,661 is 168555.
Thus, GCF of Fractions is 1/168555.Finally, GCF of Fractions for 473/255, 589/661 is 1/168555.