Use our free GCF of Fractions Calculator tool to compute the GCF of 6085/255, 2040/3513 i.e 5/298605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6085/255, 2040/3513.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6085/255,2040/3513
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 6085/255,2040/3513, numerators are 6085,2040
Denominators are 255,3513
The GCF of 6085,2040 is 5 .
LCM of 255,3513 is 298605.
The greatest common factor of 6085/255,2040/3513 = [GCF of 6085,2040]/[LCM of 255,3513]= 5/298605
Therefore, the GCF of 6085/255,2040/3513 is 5/298605.
To find the highest common factor of 6085,2040, we have to find the factors of both numbers and list the highest common factor.
The factors of 6085 are 1, 5, 1217, 6085
The factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040
The HCF of 6085,2040 is 5.
Lets's calculate GCF of 6085,2040
5 | 6085, 2040 |
1217, 408 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 6085
:1,5,1217,6085
Now, list down the factors of 2040
:1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 6085,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 6085,2040 is 5.
Lets's calculate LCM of 255,3513
3 | 255, 3513 |
85, 1171 |
∴ So the LCM of the given numbers is 3 x 85 x 1171 = 298605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/298605
Therefore, the GCF of Fractions 6085/255,2040/3513 is 5/298605
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 255,3513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,3513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,3513) x common factors =3 x 1 = 3
LCM(255,3513) = ( 255 × 3513 ) / 3
LCM(255,3513) = 895815 / 3
LCM(255,3513) = 298605
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6085,2040?
The HCF of 6085,2040 is 5
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 6085/255, 2040/3513?
Answer: GCF of Numerators as per given numbers 6085/255, 2040/3513 is
GCF of Numerators i.e. for 6085,2040 is 5
LCM of denominators i.e. for 255,3513 is 298605.
Thus, GCF of Fractions is 5/298605.Finally, GCF of Fractions for 6085/255, 2040/3513 is 5/298605.