Use our free GCF of Fractions Calculator tool to compute the GCF of 184/668, 831/766 i.e 1/255844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/668, 831/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/668,831/766
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 184/668,831/766, numerators are 184,831
Denominators are 668,766
The GCF of 184,831 is 1 .
LCM of 668,766 is 255844.
The greatest common factor of 184/668,831/766 = [GCF of 184,831]/[LCM of 668,766]= 1/255844
Therefore, the GCF of 184/668,831/766 is 1/255844.
To find the highest common factor of 184,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The factors of 831 are 1, 3, 277, 831
The HCF of 184,831 is 1.
Lets's calculate GCF of 184,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 184,831 . The biggest common factor number is the GCF number.
So the greatest common factor 184,831 is 1.
Lets's calculate LCM of 668,766
2 | 668, 766 |
334, 383 |
∴ So the LCM of the given numbers is 2 x 334 x 383 = 255844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255844
Therefore, the GCF of Fractions 184/668,831/766 is 1/255844
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 668,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,766) x common factors =2 x 1 = 2
LCM(668,766) = ( 668 × 766 ) / 2
LCM(668,766) = 511688 / 2
LCM(668,766) = 255844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 184,831?
The HCF of 184,831 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 184/668, 831/766?
Answer: GCF of Numerators as per given numbers 184/668, 831/766 is
GCF of Numerators i.e. for 184,831 is 1
LCM of denominators i.e. for 668,766 is 255844.
Thus, GCF of Fractions is 1/255844.Finally, GCF of Fractions for 184/668, 831/766 is 1/255844.