Use our free GCF of Fractions Calculator tool to compute the GCF of 14/258, 850/600, 678/249 i.e 2/2141400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/258, 850/600, 678/249.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/258,850/600,678/249
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 14/258,850/600,678/249, numerators are 14,850,678
Denominators are 258,600,249
The GCF of 14,850,678 is 2 .
LCM of 258,600,249 is 2141400.
The greatest common factor of 14/258,850/600,678/249 = [GCF of 14,850,678]/[LCM of 258,600,249]= 2/2141400
Therefore, the GCF of 14/258,850/600,678/249 is 2/2141400.
To find the highest common factor of 14,850,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 14,850,678 is 2.
Lets's calculate GCF of 14,850,678
2 | 14, 850, 678 |
7, 425, 339 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 14,850,678 . The biggest common factor number is the GCF number.
So the greatest common factor 14,850,678 is 2.
Lets's calculate LCM of 258,600,249
2 | 258, 600, 249 |
3 | 129, 300, 249 |
43, 100, 83 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 100 x 83 = 2141400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2141400
Therefore, the GCF of Fractions 14/258,850/600,678/249 is 2/2141400
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 258,600,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,600,249) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(258,600,249) x common factors =3 x 6 = 18
LCM(258,600,249) = ( 258 × 600 × 249 ) / 18
LCM(258,600,249) = 38545200 / 18
LCM(258,600,249) = 2141400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,850,678?
The HCF of 14,850,678 is 2
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 14/258, 850/600, 678/249?
Answer: GCF of Numerators as per given numbers 14/258, 850/600, 678/249 is
GCF of Numerators i.e. for 14,850,678 is 2
LCM of denominators i.e. for 258,600,249 is 2141400.
Thus, GCF of Fractions is 2/2141400.Finally, GCF of Fractions for 14/258, 850/600, 678/249 is 2/2141400.