Use our free GCF of Fractions Calculator tool to compute the GCF of 1/13, 82/31, 18/565, 487/806 i.e 1/455390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/13, 82/31, 18/565, 487/806.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/13,82/31,18/565,487/806
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 1/13,82/31,18/565,487/806, numerators are 1,82,18,487
Denominators are 13,31,565,806
The GCF of 1,82,18,487 is 1 .
LCM of 13,31,565,806 is 455390.
The greatest common factor of 1/13,82/31,18/565,487/806 = [GCF of 1,82,18,487]/[LCM of 13,31,565,806]= 1/455390
Therefore, the GCF of 1/13,82/31,18/565,487/806 is 1/455390.
To find the highest common factor of 1,82,18,487, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 82 are 1, 2, 41, 82
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 487 are 1, 487
The HCF of 1,82,18,487 is 1.
Lets's calculate GCF of 1,82,18,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 487
:1,487
Greatest Common Factor
We found the factors 1,82,18,487 . The biggest common factor number is the GCF number.
So the greatest common factor 1,82,18,487 is 1.
Lets's calculate LCM of 13,31,565,806
13 | 13, 31, 565, 806 |
31 | 1, 31, 565, 62 |
1, 1, 565, 2 |
∴ So the LCM of the given numbers is 13 x 31 x 1 x 1 x 565 x 2 = 455390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455390
Therefore, the GCF of Fractions 1/13,82/31,18/565,487/806 is 1/455390
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 13,31,565,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,31,565,806) = 1
common factors(in case of two or more numbers have common factors) = 403
GCF(13,31,565,806) x common factors =1 x 403 = 403
LCM(13,31,565,806) = ( 13 × 31 × 565 × 806 ) / 403
LCM(13,31,565,806) = 183522170 / 403
LCM(13,31,565,806) = 455390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,82,18,487?
The HCF of 1,82,18,487 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 1/13, 82/31, 18/565, 487/806?
Answer: GCF of Numerators as per given numbers 1/13, 82/31, 18/565, 487/806 is
GCF of Numerators i.e. for 1,82,18,487 is 1
LCM of denominators i.e. for 13,31,565,806 is 455390.
Thus, GCF of Fractions is 1/455390.Finally, GCF of Fractions for 1/13, 82/31, 18/565, 487/806 is 1/455390.