Use our free GCF of Fractions Calculator tool to compute the GCF of 487/338, 877/326 i.e 1/55094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/338, 877/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/338,877/326
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 487/338,877/326, numerators are 487,877
Denominators are 338,326
The GCF of 487,877 is 1 .
LCM of 338,326 is 55094.
The greatest common factor of 487/338,877/326 = [GCF of 487,877]/[LCM of 338,326]= 1/55094
Therefore, the GCF of 487/338,877/326 is 1/55094.
To find the highest common factor of 487,877, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 877 are 1, 877
The HCF of 487,877 is 1.
Lets's calculate GCF of 487,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 487
:1,487
Now, list down the factors of 877
:1,877
Greatest Common Factor
We found the factors 487,877 . The biggest common factor number is the GCF number.
So the greatest common factor 487,877 is 1.
Lets's calculate LCM of 338,326
2 | 338, 326 |
169, 163 |
∴ So the LCM of the given numbers is 2 x 169 x 163 = 55094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55094
Therefore, the GCF of Fractions 487/338,877/326 is 1/55094
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 338,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,326) x common factors =2 x 1 = 2
LCM(338,326) = ( 338 × 326 ) / 2
LCM(338,326) = 110188 / 2
LCM(338,326) = 55094
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 487,877?
The HCF of 487,877 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 487/338, 877/326?
Answer: GCF of Numerators as per given numbers 487/338, 877/326 is
GCF of Numerators i.e. for 487,877 is 1
LCM of denominators i.e. for 338,326 is 55094.
Thus, GCF of Fractions is 1/55094.Finally, GCF of Fractions for 487/338, 877/326 is 1/55094.