Use our free GCF of Fractions Calculator tool to compute the GCF of 23/561, 566/265, 221/353 i.e 1/52478745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/561, 566/265, 221/353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/561,566/265,221/353
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 23/561,566/265,221/353, numerators are 23,566,221
Denominators are 561,265,353
The GCF of 23,566,221 is 1 .
LCM of 561,265,353 is 52478745.
The greatest common factor of 23/561,566/265,221/353 = [GCF of 23,566,221]/[LCM of 561,265,353]= 1/52478745
Therefore, the GCF of 23/561,566/265,221/353 is 1/52478745.
To find the highest common factor of 23,566,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 566 are 1, 2, 283, 566
The factors of 221 are 1, 13, 17, 221
The HCF of 23,566,221 is 1.
Lets's calculate GCF of 23,566,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 23,566,221 . The biggest common factor number is the GCF number.
So the greatest common factor 23,566,221 is 1.
Lets's calculate LCM of 561,265,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 52478745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52478745
Therefore, the GCF of Fractions 23/561,566/265,221/353 is 1/52478745
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 561,265,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,265,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,265,353) x common factors =1 x 1 = 1
LCM(561,265,353) = ( 561 × 265 × 353 ) / 1
LCM(561,265,353) = 52478745 / 1
LCM(561,265,353) = 52478745
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,566,221?
The HCF of 23,566,221 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 23/561, 566/265, 221/353?
Answer: GCF of Numerators as per given numbers 23/561, 566/265, 221/353 is
GCF of Numerators i.e. for 23,566,221 is 1
LCM of denominators i.e. for 561,265,353 is 52478745.
Thus, GCF of Fractions is 1/52478745.Finally, GCF of Fractions for 23/561, 566/265, 221/353 is 1/52478745.