Use our free GCF of Fractions Calculator tool to compute the GCF of 487/810, 561/682 i.e 1/276210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/810, 561/682.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/810,561/682
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 487/810,561/682, numerators are 487,561
Denominators are 810,682
The GCF of 487,561 is 1 .
LCM of 810,682 is 276210.
The greatest common factor of 487/810,561/682 = [GCF of 487,561]/[LCM of 810,682]= 1/276210
Therefore, the GCF of 487/810,561/682 is 1/276210.
To find the highest common factor of 487,561, 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 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 487,561 is 1.
Lets's calculate GCF of 487,561
∴ 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 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 487,561 . The biggest common factor number is the GCF number.
So the greatest common factor 487,561 is 1.
Lets's calculate LCM of 810,682
2 | 810, 682 |
405, 341 |
∴ So the LCM of the given numbers is 2 x 405 x 341 = 276210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276210
Therefore, the GCF of Fractions 487/810,561/682 is 1/276210
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 810,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,682) x common factors =2 x 1 = 2
LCM(810,682) = ( 810 × 682 ) / 2
LCM(810,682) = 552420 / 2
LCM(810,682) = 276210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 487,561?
The HCF of 487,561 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 487/810, 561/682?
Answer: GCF of Numerators as per given numbers 487/810, 561/682 is
GCF of Numerators i.e. for 487,561 is 1
LCM of denominators i.e. for 810,682 is 276210.
Thus, GCF of Fractions is 1/276210.Finally, GCF of Fractions for 487/810, 561/682 is 1/276210.