Use our free GCF of Fractions Calculator tool to compute the GCF of 367/733, 289/286 i.e 1/209638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/733, 289/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 367/733,289/286
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 367/733,289/286, numerators are 367,289
Denominators are 733,286
The GCF of 367,289 is 1 .
LCM of 733,286 is 209638.
The greatest common factor of 367/733,289/286 = [GCF of 367,289]/[LCM of 733,286]= 1/209638
Therefore, the GCF of 367/733,289/286 is 1/209638.
To find the highest common factor of 367,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 367 are 1, 367
The factors of 289 are 1, 17, 289
The HCF of 367,289 is 1.
Lets's calculate GCF of 367,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 367
:1,367
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 367,289 . The biggest common factor number is the GCF number.
So the greatest common factor 367,289 is 1.
Lets's calculate LCM of 733,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 209638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209638
Therefore, the GCF of Fractions 367/733,289/286 is 1/209638
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 733,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,286) x common factors =1 x 1 = 1
LCM(733,286) = ( 733 × 286 ) / 1
LCM(733,286) = 209638 / 1
LCM(733,286) = 209638
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 367,289?
The HCF of 367,289 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 367/733, 289/286?
Answer: GCF of Numerators as per given numbers 367/733, 289/286 is
GCF of Numerators i.e. for 367,289 is 1
LCM of denominators i.e. for 733,286 is 209638.
Thus, GCF of Fractions is 1/209638.Finally, GCF of Fractions for 367/733, 289/286 is 1/209638.