Use our free GCF of Fractions Calculator tool to compute the GCF of 5993/608, 8655/4690 i.e 1/1425760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5993/608, 8655/4690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5993/608,8655/4690
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 5993/608,8655/4690, numerators are 5993,8655
Denominators are 608,4690
The GCF of 5993,8655 is 1 .
LCM of 608,4690 is 1425760.
The greatest common factor of 5993/608,8655/4690 = [GCF of 5993,8655]/[LCM of 608,4690]= 1/1425760
Therefore, the GCF of 5993/608,8655/4690 is 1/1425760.
To find the highest common factor of 5993,8655, we have to find the factors of both numbers and list the highest common factor.
The factors of 5993 are 1, 13, 461, 5993
The factors of 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655
The HCF of 5993,8655 is 1.
Lets's calculate GCF of 5993,8655
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5993
:1,13,461,5993
Now, list down the factors of 8655
:1,3,5,15,577,1731,2885,8655
Greatest Common Factor
We found the factors 5993,8655 . The biggest common factor number is the GCF number.
So the greatest common factor 5993,8655 is 1.
Lets's calculate LCM of 608,4690
2 | 608, 4690 |
304, 2345 |
∴ So the LCM of the given numbers is 2 x 304 x 2345 = 1425760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1425760
Therefore, the GCF of Fractions 5993/608,8655/4690 is 1/1425760
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 608,4690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,4690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,4690) x common factors =2 x 1 = 2
LCM(608,4690) = ( 608 × 4690 ) / 2
LCM(608,4690) = 2851520 / 2
LCM(608,4690) = 1425760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5993,8655?
The HCF of 5993,8655 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 5993/608, 8655/4690?
Answer: GCF of Numerators as per given numbers 5993/608, 8655/4690 is
GCF of Numerators i.e. for 5993,8655 is 1
LCM of denominators i.e. for 608,4690 is 1425760.
Thus, GCF of Fractions is 1/1425760.Finally, GCF of Fractions for 5993/608, 8655/4690 is 1/1425760.