Use our free GCF of Fractions Calculator tool to compute the GCF of 362/671, 439/275 i.e 1/16775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/671, 439/275.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 362/671,439/275
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 362/671,439/275, numerators are 362,439
Denominators are 671,275
The GCF of 362,439 is 1 .
LCM of 671,275 is 16775.
The greatest common factor of 362/671,439/275 = [GCF of 362,439]/[LCM of 671,275]= 1/16775
Therefore, the GCF of 362/671,439/275 is 1/16775.
To find the highest common factor of 362,439, we have to find the factors of both numbers and list the highest common factor.
The factors of 362 are 1, 2, 181, 362
The factors of 439 are 1, 439
The HCF of 362,439 is 1.
Lets's calculate GCF of 362,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 362
:1,2,181,362
Now, list down the factors of 439
:1,439
Greatest Common Factor
We found the factors 362,439 . The biggest common factor number is the GCF number.
So the greatest common factor 362,439 is 1.
Lets's calculate LCM of 671,275
11 | 671, 275 |
61, 25 |
∴ So the LCM of the given numbers is 11 x 61 x 25 = 16775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16775
Therefore, the GCF of Fractions 362/671,439/275 is 1/16775
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 671,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,275) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(671,275) x common factors =11 x 1 = 11
LCM(671,275) = ( 671 × 275 ) / 11
LCM(671,275) = 184525 / 11
LCM(671,275) = 16775
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 362,439?
The HCF of 362,439 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 362/671, 439/275?
Answer: GCF of Numerators as per given numbers 362/671, 439/275 is
GCF of Numerators i.e. for 362,439 is 1
LCM of denominators i.e. for 671,275 is 16775.
Thus, GCF of Fractions is 1/16775.Finally, GCF of Fractions for 362/671, 439/275 is 1/16775.