Use our free GCF of Fractions Calculator tool to compute the GCF of 371/418, 415/285 i.e 1/6270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/418, 415/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 371/418,415/285
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 371/418,415/285, numerators are 371,415
Denominators are 418,285
The GCF of 371,415 is 1 .
LCM of 418,285 is 6270.
The greatest common factor of 371/418,415/285 = [GCF of 371,415]/[LCM of 418,285]= 1/6270
Therefore, the GCF of 371/418,415/285 is 1/6270.
To find the highest common factor of 371,415, we have to find the factors of both numbers and list the highest common factor.
The factors of 371 are 1, 7, 53, 371
The factors of 415 are 1, 5, 83, 415
The HCF of 371,415 is 1.
Lets's calculate GCF of 371,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 371
:1,7,53,371
Now, list down the factors of 415
:1,5,83,415
Greatest Common Factor
We found the factors 371,415 . The biggest common factor number is the GCF number.
So the greatest common factor 371,415 is 1.
Lets's calculate LCM of 418,285
19 | 418, 285 |
22, 15 |
∴ So the LCM of the given numbers is 19 x 22 x 15 = 6270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6270
Therefore, the GCF of Fractions 371/418,415/285 is 1/6270
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 418,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,285) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(418,285) x common factors =19 x 1 = 19
LCM(418,285) = ( 418 × 285 ) / 19
LCM(418,285) = 119130 / 19
LCM(418,285) = 6270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 371,415?
The HCF of 371,415 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 371/418, 415/285?
Answer: GCF of Numerators as per given numbers 371/418, 415/285 is
GCF of Numerators i.e. for 371,415 is 1
LCM of denominators i.e. for 418,285 is 6270.
Thus, GCF of Fractions is 1/6270.Finally, GCF of Fractions for 371/418, 415/285 is 1/6270.