Use our free GCF of Fractions Calculator tool to compute the GCF of 581/943, 408/766 i.e 1/722338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/943, 408/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 581/943,408/766
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 581/943,408/766, numerators are 581,408
Denominators are 943,766
The GCF of 581,408 is 1 .
LCM of 943,766 is 722338.
The greatest common factor of 581/943,408/766 = [GCF of 581,408]/[LCM of 943,766]= 1/722338
Therefore, the GCF of 581/943,408/766 is 1/722338.
To find the highest common factor of 581,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 581,408 is 1.
Lets's calculate GCF of 581,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 581,408 . The biggest common factor number is the GCF number.
So the greatest common factor 581,408 is 1.
Lets's calculate LCM of 943,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 722338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722338
Therefore, the GCF of Fractions 581/943,408/766 is 1/722338
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 943,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,766) x common factors =1 x 1 = 1
LCM(943,766) = ( 943 × 766 ) / 1
LCM(943,766) = 722338 / 1
LCM(943,766) = 722338
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 581,408?
The HCF of 581,408 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 581/943, 408/766?
Answer: GCF of Numerators as per given numbers 581/943, 408/766 is
GCF of Numerators i.e. for 581,408 is 1
LCM of denominators i.e. for 943,766 is 722338.
Thus, GCF of Fractions is 1/722338.Finally, GCF of Fractions for 581/943, 408/766 is 1/722338.