Use our free GCF of Fractions Calculator tool to compute the GCF of 890/605, 723/227 i.e 1/137335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/605, 723/227.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/605,723/227
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 890/605,723/227, numerators are 890,723
Denominators are 605,227
The GCF of 890,723 is 1 .
LCM of 605,227 is 137335.
The greatest common factor of 890/605,723/227 = [GCF of 890,723]/[LCM of 605,227]= 1/137335
Therefore, the GCF of 890/605,723/227 is 1/137335.
To find the highest common factor of 890,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 723 are 1, 3, 241, 723
The HCF of 890,723 is 1.
Lets's calculate GCF of 890,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 890,723 . The biggest common factor number is the GCF number.
So the greatest common factor 890,723 is 1.
Lets's calculate LCM of 605,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 137335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137335
Therefore, the GCF of Fractions 890/605,723/227 is 1/137335
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 605,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,227) x common factors =1 x 1 = 1
LCM(605,227) = ( 605 × 227 ) / 1
LCM(605,227) = 137335 / 1
LCM(605,227) = 137335
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,723?
The HCF of 890,723 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 890/605, 723/227?
Answer: GCF of Numerators as per given numbers 890/605, 723/227 is
GCF of Numerators i.e. for 890,723 is 1
LCM of denominators i.e. for 605,227 is 137335.
Thus, GCF of Fractions is 1/137335.Finally, GCF of Fractions for 890/605, 723/227 is 1/137335.