Use our free GCF of Fractions Calculator tool to compute the GCF of 297/388, 823/257 i.e 1/99716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/388, 823/257.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/388,823/257
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 297/388,823/257, numerators are 297,823
Denominators are 388,257
The GCF of 297,823 is 1 .
LCM of 388,257 is 99716.
The greatest common factor of 297/388,823/257 = [GCF of 297,823]/[LCM of 388,257]= 1/99716
Therefore, the GCF of 297/388,823/257 is 1/99716.
To find the highest common factor of 297,823, we have to find the factors of both numbers and list the highest common factor.
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The factors of 823 are 1, 823
The HCF of 297,823 is 1.
Lets's calculate GCF of 297,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Now, list down the factors of 823
:1,823
Greatest Common Factor
We found the factors 297,823 . The biggest common factor number is the GCF number.
So the greatest common factor 297,823 is 1.
Lets's calculate LCM of 388,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 99716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99716
Therefore, the GCF of Fractions 297/388,823/257 is 1/99716
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 388,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,257) x common factors =1 x 1 = 1
LCM(388,257) = ( 388 × 257 ) / 1
LCM(388,257) = 99716 / 1
LCM(388,257) = 99716
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 297,823?
The HCF of 297,823 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 297/388, 823/257?
Answer: GCF of Numerators as per given numbers 297/388, 823/257 is
GCF of Numerators i.e. for 297,823 is 1
LCM of denominators i.e. for 388,257 is 99716.
Thus, GCF of Fractions is 1/99716.Finally, GCF of Fractions for 297/388, 823/257 is 1/99716.