Use our free GCF of Fractions Calculator tool to compute the GCF of 365/239, 855/871 i.e 5/208169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 365/239, 855/871.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 365/239,855/871
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 365/239,855/871, numerators are 365,855
Denominators are 239,871
The GCF of 365,855 is 5 .
LCM of 239,871 is 208169.
The greatest common factor of 365/239,855/871 = [GCF of 365,855]/[LCM of 239,871]= 5/208169
Therefore, the GCF of 365/239,855/871 is 5/208169.
To find the highest common factor of 365,855, we have to find the factors of both numbers and list the highest common factor.
The factors of 365 are 1, 5, 73, 365
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The HCF of 365,855 is 5.
Lets's calculate GCF of 365,855
5 | 365, 855 |
73, 171 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 365
:1,5,73,365
Now, list down the factors of 855
:1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 365,855 . The biggest common factor number is the GCF number.
So the greatest common factor 365,855 is 5.
Lets's calculate LCM of 239,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 208169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/208169
Therefore, the GCF of Fractions 365/239,855/871 is 5/208169
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 239,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,871) x common factors =1 x 1 = 1
LCM(239,871) = ( 239 × 871 ) / 1
LCM(239,871) = 208169 / 1
LCM(239,871) = 208169
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 365,855?
The HCF of 365,855 is 5
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 365/239, 855/871?
Answer: GCF of Numerators as per given numbers 365/239, 855/871 is
GCF of Numerators i.e. for 365,855 is 5
LCM of denominators i.e. for 239,871 is 208169.
Thus, GCF of Fractions is 5/208169.Finally, GCF of Fractions for 365/239, 855/871 is 5/208169.