Use our free GCF of Fractions Calculator tool to compute the GCF of 871/405, 826/497 i.e 1/201285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/405, 826/497.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 871/405,826/497
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 871/405,826/497, numerators are 871,826
Denominators are 405,497
The GCF of 871,826 is 1 .
LCM of 405,497 is 201285.
The greatest common factor of 871/405,826/497 = [GCF of 871,826]/[LCM of 405,497]= 1/201285
Therefore, the GCF of 871/405,826/497 is 1/201285.
To find the highest common factor of 871,826, we have to find the factors of both numbers and list the highest common factor.
The factors of 871 are 1, 13, 67, 871
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The HCF of 871,826 is 1.
Lets's calculate GCF of 871,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 871
:1,13,67,871
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 871,826 . The biggest common factor number is the GCF number.
So the greatest common factor 871,826 is 1.
Lets's calculate LCM of 405,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 201285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201285
Therefore, the GCF of Fractions 871/405,826/497 is 1/201285
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 405,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,497) x common factors =1 x 1 = 1
LCM(405,497) = ( 405 × 497 ) / 1
LCM(405,497) = 201285 / 1
LCM(405,497) = 201285
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 871,826?
The HCF of 871,826 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 871/405, 826/497?
Answer: GCF of Numerators as per given numbers 871/405, 826/497 is
GCF of Numerators i.e. for 871,826 is 1
LCM of denominators i.e. for 405,497 is 201285.
Thus, GCF of Fractions is 1/201285.Finally, GCF of Fractions for 871/405, 826/497 is 1/201285.