Use our free GCF of Fractions Calculator tool to compute the GCF of 871/803, 728/508 i.e 13/407924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/803, 728/508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 871/803,728/508
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 871/803,728/508, numerators are 871,728
Denominators are 803,508
The GCF of 871,728 is 13 .
LCM of 803,508 is 407924.
The greatest common factor of 871/803,728/508 = [GCF of 871,728]/[LCM of 803,508]= 13/407924
Therefore, the GCF of 871/803,728/508 is 13/407924.
To find the highest common factor of 871,728, 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 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 871,728 is 13.
Lets's calculate GCF of 871,728
13 | 871, 728 |
67, 56 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 871
:1,13,67,871
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 871,728 . The biggest common factor number is the GCF number.
So the greatest common factor 871,728 is 13.
Lets's calculate LCM of 803,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 407924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/407924
Therefore, the GCF of Fractions 871/803,728/508 is 13/407924
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 803,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,508) x common factors =1 x 1 = 1
LCM(803,508) = ( 803 × 508 ) / 1
LCM(803,508) = 407924 / 1
LCM(803,508) = 407924
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 871,728?
The HCF of 871,728 is 13
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 871/803, 728/508?
Answer: GCF of Numerators as per given numbers 871/803, 728/508 is
GCF of Numerators i.e. for 871,728 is 13
LCM of denominators i.e. for 803,508 is 407924.
Thus, GCF of Fractions is 13/407924.Finally, GCF of Fractions for 871/803, 728/508 is 13/407924.