Use our free GCF of Fractions Calculator tool to compute the GCF of 871/573, 134/505 i.e 67/289365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/573, 134/505.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 871/573,134/505
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 871/573,134/505, numerators are 871,134
Denominators are 573,505
The GCF of 871,134 is 67 .
LCM of 573,505 is 289365.
The greatest common factor of 871/573,134/505 = [GCF of 871,134]/[LCM of 573,505]= 67/289365
Therefore, the GCF of 871/573,134/505 is 67/289365.
To find the highest common factor of 871,134, 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 134 are 1, 2, 67, 134
The HCF of 871,134 is 67.
Lets's calculate GCF of 871,134
67 | 871, 134 |
13, 2 |
∴ So the GCF of the given numbers is 67 = 67
Now, list down the factors of 871
:1,13,67,871
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 871,134 . The biggest common factor number is the GCF number.
So the greatest common factor 871,134 is 67.
Lets's calculate LCM of 573,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 289365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/289365
Therefore, the GCF of Fractions 871/573,134/505 is 67/289365
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 573,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,505) x common factors =1 x 1 = 1
LCM(573,505) = ( 573 × 505 ) / 1
LCM(573,505) = 289365 / 1
LCM(573,505) = 289365
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 871,134?
The HCF of 871,134 is 67
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 871/573, 134/505?
Answer: GCF of Numerators as per given numbers 871/573, 134/505 is
GCF of Numerators i.e. for 871,134 is 67
LCM of denominators i.e. for 573,505 is 289365.
Thus, GCF of Fractions is 67/289365.Finally, GCF of Fractions for 871/573, 134/505 is 67/289365.