Use our free GCF of Fractions Calculator tool to compute the GCF of 397/720, 238/466 i.e 1/167760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 397/720, 238/466.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/720,238/466
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 397/720,238/466, numerators are 397,238
Denominators are 720,466
The GCF of 397,238 is 1 .
LCM of 720,466 is 167760.
The greatest common factor of 397/720,238/466 = [GCF of 397,238]/[LCM of 720,466]= 1/167760
Therefore, the GCF of 397/720,238/466 is 1/167760.
To find the highest common factor of 397,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 397 are 1, 397
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 397,238 is 1.
Lets's calculate GCF of 397,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 397
:1,397
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 397,238 . The biggest common factor number is the GCF number.
So the greatest common factor 397,238 is 1.
Lets's calculate LCM of 720,466
2 | 720, 466 |
360, 233 |
∴ So the LCM of the given numbers is 2 x 360 x 233 = 167760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167760
Therefore, the GCF of Fractions 397/720,238/466 is 1/167760
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 720,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(720,466) x common factors =2 x 1 = 2
LCM(720,466) = ( 720 × 466 ) / 2
LCM(720,466) = 335520 / 2
LCM(720,466) = 167760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 397,238?
The HCF of 397,238 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 397/720, 238/466?
Answer: GCF of Numerators as per given numbers 397/720, 238/466 is
GCF of Numerators i.e. for 397,238 is 1
LCM of denominators i.e. for 720,466 is 167760.
Thus, GCF of Fractions is 1/167760.Finally, GCF of Fractions for 397/720, 238/466 is 1/167760.