Use our free GCF of Fractions Calculator tool to compute the GCF of 233/646, 257/391 i.e 1/14858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/646, 257/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/646,257/391
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 233/646,257/391, numerators are 233,257
Denominators are 646,391
The GCF of 233,257 is 1 .
LCM of 646,391 is 14858.
The greatest common factor of 233/646,257/391 = [GCF of 233,257]/[LCM of 646,391]= 1/14858
Therefore, the GCF of 233/646,257/391 is 1/14858.
To find the highest common factor of 233,257, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 257 are 1, 257
The HCF of 233,257 is 1.
Lets's calculate GCF of 233,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 233
:1,233
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 233,257 . The biggest common factor number is the GCF number.
So the greatest common factor 233,257 is 1.
Lets's calculate LCM of 646,391
17 | 646, 391 |
38, 23 |
∴ So the LCM of the given numbers is 17 x 38 x 23 = 14858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14858
Therefore, the GCF of Fractions 233/646,257/391 is 1/14858
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 646,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,391) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(646,391) x common factors =17 x 1 = 17
LCM(646,391) = ( 646 × 391 ) / 17
LCM(646,391) = 252586 / 17
LCM(646,391) = 14858
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 233,257?
The HCF of 233,257 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 233/646, 257/391?
Answer: GCF of Numerators as per given numbers 233/646, 257/391 is
GCF of Numerators i.e. for 233,257 is 1
LCM of denominators i.e. for 646,391 is 14858.
Thus, GCF of Fractions is 1/14858.Finally, GCF of Fractions for 233/646, 257/391 is 1/14858.