Use our free GCF of Fractions Calculator tool to compute the GCF of 246/613, 223/755 i.e 1/462815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/613, 223/755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/613,223/755
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 246/613,223/755, numerators are 246,223
Denominators are 613,755
The GCF of 246,223 is 1 .
LCM of 613,755 is 462815.
The greatest common factor of 246/613,223/755 = [GCF of 246,223]/[LCM of 613,755]= 1/462815
Therefore, the GCF of 246/613,223/755 is 1/462815.
To find the highest common factor of 246,223, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 223 are 1, 223
The HCF of 246,223 is 1.
Lets's calculate GCF of 246,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 223
:1,223
Greatest Common Factor
We found the factors 246,223 . The biggest common factor number is the GCF number.
So the greatest common factor 246,223 is 1.
Lets's calculate LCM of 613,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 462815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462815
Therefore, the GCF of Fractions 246/613,223/755 is 1/462815
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 613,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,755) x common factors =1 x 1 = 1
LCM(613,755) = ( 613 × 755 ) / 1
LCM(613,755) = 462815 / 1
LCM(613,755) = 462815
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,223?
The HCF of 246,223 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 246/613, 223/755?
Answer: GCF of Numerators as per given numbers 246/613, 223/755 is
GCF of Numerators i.e. for 246,223 is 1
LCM of denominators i.e. for 613,755 is 462815.
Thus, GCF of Fractions is 1/462815.Finally, GCF of Fractions for 246/613, 223/755 is 1/462815.