Use our free GCF of Fractions Calculator tool to compute the GCF of 2694/255, 9975/9064 i.e 3/2311320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2694/255, 9975/9064.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2694/255,9975/9064
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 2694/255,9975/9064, numerators are 2694,9975
Denominators are 255,9064
The GCF of 2694,9975 is 3 .
LCM of 255,9064 is 2311320.
The greatest common factor of 2694/255,9975/9064 = [GCF of 2694,9975]/[LCM of 255,9064]= 3/2311320
Therefore, the GCF of 2694/255,9975/9064 is 3/2311320.
To find the highest common factor of 2694,9975, we have to find the factors of both numbers and list the highest common factor.
The factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694
The factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975
The HCF of 2694,9975 is 3.
Lets's calculate GCF of 2694,9975
3 | 2694, 9975 |
898, 3325 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2694
:1,2,3,6,449,898,1347,2694
Now, list down the factors of 9975
:1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975
Greatest Common Factor
We found the factors 2694,9975 . The biggest common factor number is the GCF number.
So the greatest common factor 2694,9975 is 3.
Lets's calculate LCM of 255,9064
Given numbers has no common factors except 1. So, there LCM is their product i.e 2311320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2311320
Therefore, the GCF of Fractions 2694/255,9975/9064 is 3/2311320
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 255,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,9064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,9064) x common factors =1 x 1 = 1
LCM(255,9064) = ( 255 × 9064 ) / 1
LCM(255,9064) = 2311320 / 1
LCM(255,9064) = 2311320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2694,9975?
The HCF of 2694,9975 is 3
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 2694/255, 9975/9064?
Answer: GCF of Numerators as per given numbers 2694/255, 9975/9064 is
GCF of Numerators i.e. for 2694,9975 is 3
LCM of denominators i.e. for 255,9064 is 2311320.
Thus, GCF of Fractions is 3/2311320.Finally, GCF of Fractions for 2694/255, 9975/9064 is 3/2311320.