Use our free GCF of Fractions Calculator tool to compute the GCF of 838/465, 858/903 i.e 2/139965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/465, 858/903.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/465,858/903
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 838/465,858/903, numerators are 838,858
Denominators are 465,903
The GCF of 838,858 is 2 .
LCM of 465,903 is 139965.
The greatest common factor of 838/465,858/903 = [GCF of 838,858]/[LCM of 465,903]= 2/139965
Therefore, the GCF of 838/465,858/903 is 2/139965.
To find the highest common factor of 838,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 838,858 is 2.
Lets's calculate GCF of 838,858
2 | 838, 858 |
419, 429 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 838,858 . The biggest common factor number is the GCF number.
So the greatest common factor 838,858 is 2.
Lets's calculate LCM of 465,903
3 | 465, 903 |
155, 301 |
∴ So the LCM of the given numbers is 3 x 155 x 301 = 139965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139965
Therefore, the GCF of Fractions 838/465,858/903 is 2/139965
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 465,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,903) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,903) x common factors =3 x 1 = 3
LCM(465,903) = ( 465 × 903 ) / 3
LCM(465,903) = 419895 / 3
LCM(465,903) = 139965
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,858?
The HCF of 838,858 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 838/465, 858/903?
Answer: GCF of Numerators as per given numbers 838/465, 858/903 is
GCF of Numerators i.e. for 838,858 is 2
LCM of denominators i.e. for 465,903 is 139965.
Thus, GCF of Fractions is 2/139965.Finally, GCF of Fractions for 838/465, 858/903 is 2/139965.