Use our free GCF of Fractions Calculator tool to compute the GCF of 935/258, 799/429 i.e 17/36894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/258, 799/429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/258,799/429
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 935/258,799/429, numerators are 935,799
Denominators are 258,429
The GCF of 935,799 is 17 .
LCM of 258,429 is 36894.
The greatest common factor of 935/258,799/429 = [GCF of 935,799]/[LCM of 258,429]= 17/36894
Therefore, the GCF of 935/258,799/429 is 17/36894.
To find the highest common factor of 935,799, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 799 are 1, 17, 47, 799
The HCF of 935,799 is 17.
Lets's calculate GCF of 935,799
17 | 935, 799 |
55, 47 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 799
:1,17,47,799
Greatest Common Factor
We found the factors 935,799 . The biggest common factor number is the GCF number.
So the greatest common factor 935,799 is 17.
Lets's calculate LCM of 258,429
3 | 258, 429 |
86, 143 |
∴ So the LCM of the given numbers is 3 x 86 x 143 = 36894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/36894
Therefore, the GCF of Fractions 935/258,799/429 is 17/36894
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 258,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,429) x common factors =3 x 1 = 3
LCM(258,429) = ( 258 × 429 ) / 3
LCM(258,429) = 110682 / 3
LCM(258,429) = 36894
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 935,799?
The HCF of 935,799 is 17
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 935/258, 799/429?
Answer: GCF of Numerators as per given numbers 935/258, 799/429 is
GCF of Numerators i.e. for 935,799 is 17
LCM of denominators i.e. for 258,429 is 36894.
Thus, GCF of Fractions is 17/36894.Finally, GCF of Fractions for 935/258, 799/429 is 17/36894.