Use our free GCF of Fractions Calculator tool to compute the GCF of 221/346, 233/658 i.e 1/113834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 221/346, 233/658.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 221/346,233/658
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 221/346,233/658, numerators are 221,233
Denominators are 346,658
The GCF of 221,233 is 1 .
LCM of 346,658 is 113834.
The greatest common factor of 221/346,233/658 = [GCF of 221,233]/[LCM of 346,658]= 1/113834
Therefore, the GCF of 221/346,233/658 is 1/113834.
To find the highest common factor of 221,233, we have to find the factors of both numbers and list the highest common factor.
The factors of 221 are 1, 13, 17, 221
The factors of 233 are 1, 233
The HCF of 221,233 is 1.
Lets's calculate GCF of 221,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 221
:1,13,17,221
Now, list down the factors of 233
:1,233
Greatest Common Factor
We found the factors 221,233 . The biggest common factor number is the GCF number.
So the greatest common factor 221,233 is 1.
Lets's calculate LCM of 346,658
2 | 346, 658 |
173, 329 |
∴ So the LCM of the given numbers is 2 x 173 x 329 = 113834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113834
Therefore, the GCF of Fractions 221/346,233/658 is 1/113834
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 346,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,658) x common factors =2 x 1 = 2
LCM(346,658) = ( 346 × 658 ) / 2
LCM(346,658) = 227668 / 2
LCM(346,658) = 113834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 221,233?
The HCF of 221,233 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 221/346, 233/658?
Answer: GCF of Numerators as per given numbers 221/346, 233/658 is
GCF of Numerators i.e. for 221,233 is 1
LCM of denominators i.e. for 346,658 is 113834.
Thus, GCF of Fractions is 1/113834.Finally, GCF of Fractions for 221/346, 233/658 is 1/113834.