Use our free GCF of Fractions Calculator tool to compute the GCF of 871/123, 182/316 i.e 13/38868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/123, 182/316.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 871/123,182/316
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 871/123,182/316, numerators are 871,182
Denominators are 123,316
The GCF of 871,182 is 13 .
LCM of 123,316 is 38868.
The greatest common factor of 871/123,182/316 = [GCF of 871,182]/[LCM of 123,316]= 13/38868
Therefore, the GCF of 871/123,182/316 is 13/38868.
To find the highest common factor of 871,182, 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 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 871,182 is 13.
Lets's calculate GCF of 871,182
13 | 871, 182 |
67, 14 |
∴ 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 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 871,182 . The biggest common factor number is the GCF number.
So the greatest common factor 871,182 is 13.
Lets's calculate LCM of 123,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 38868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/38868
Therefore, the GCF of Fractions 871/123,182/316 is 13/38868
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 123,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,316) x common factors =1 x 1 = 1
LCM(123,316) = ( 123 × 316 ) / 1
LCM(123,316) = 38868 / 1
LCM(123,316) = 38868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 871,182?
The HCF of 871,182 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 871/123, 182/316?
Answer: GCF of Numerators as per given numbers 871/123, 182/316 is
GCF of Numerators i.e. for 871,182 is 13
LCM of denominators i.e. for 123,316 is 38868.
Thus, GCF of Fractions is 13/38868.Finally, GCF of Fractions for 871/123, 182/316 is 13/38868.