Use our free GCF of Fractions Calculator tool to compute the GCF of 87/146, 81/6873 i.e 3/1003458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/146, 81/6873.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/146,81/6873
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 87/146,81/6873, numerators are 87,81
Denominators are 146,6873
The GCF of 87,81 is 3 .
LCM of 146,6873 is 1003458.
The greatest common factor of 87/146,81/6873 = [GCF of 87,81]/[LCM of 146,6873]= 3/1003458
Therefore, the GCF of 87/146,81/6873 is 3/1003458.
To find the highest common factor of 87,81, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 81 are 1, 3, 9, 27, 81
The HCF of 87,81 is 3.
Lets's calculate GCF of 87,81
3 | 87, 81 |
29, 27 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 81
:1,3,9,27,81
Greatest Common Factor
We found the factors 87,81 . The biggest common factor number is the GCF number.
So the greatest common factor 87,81 is 3.
Lets's calculate LCM of 146,6873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1003458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1003458
Therefore, the GCF of Fractions 87/146,81/6873 is 3/1003458
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 146,6873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,6873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,6873) x common factors =1 x 1 = 1
LCM(146,6873) = ( 146 × 6873 ) / 1
LCM(146,6873) = 1003458 / 1
LCM(146,6873) = 1003458
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,81?
The HCF of 87,81 is 3
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 87/146, 81/6873?
Answer: GCF of Numerators as per given numbers 87/146, 81/6873 is
GCF of Numerators i.e. for 87,81 is 3
LCM of denominators i.e. for 146,6873 is 1003458.
Thus, GCF of Fractions is 3/1003458.Finally, GCF of Fractions for 87/146, 81/6873 is 3/1003458.