Use our free GCF of Fractions Calculator tool to compute the GCF of 4023/835, 9834/5705 i.e 447/952735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4023/835, 9834/5705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4023/835,9834/5705
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 4023/835,9834/5705, numerators are 4023,9834
Denominators are 835,5705
The GCF of 4023,9834 is 447 .
LCM of 835,5705 is 952735.
The greatest common factor of 4023/835,9834/5705 = [GCF of 4023,9834]/[LCM of 835,5705]= 447/952735
Therefore, the GCF of 4023/835,9834/5705 is 447/952735.
To find the highest common factor of 4023,9834, we have to find the factors of both numbers and list the highest common factor.
The factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023
The factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834
The HCF of 4023,9834 is 447.
Lets's calculate GCF of 4023,9834
3 | 4023, 9834 |
149 | 1341, 3278 |
9, 22 |
∴ So the GCF of the given numbers is 3 x 149 = 447
Now, list down the factors of 4023
:1,3,9,27,149,447,1341,4023
Now, list down the factors of 9834
:1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834
Greatest Common Factor
We found the factors 4023,9834 . The biggest common factor number is the GCF number.
So the greatest common factor 4023,9834 is 447.
Lets's calculate LCM of 835,5705
5 | 835, 5705 |
167, 1141 |
∴ So the LCM of the given numbers is 5 x 167 x 1141 = 952735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 447/952735
Therefore, the GCF of Fractions 4023/835,9834/5705 is 447/952735
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 835,5705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,5705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,5705) x common factors =5 x 1 = 5
LCM(835,5705) = ( 835 × 5705 ) / 5
LCM(835,5705) = 4763675 / 5
LCM(835,5705) = 952735
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4023,9834?
The HCF of 4023,9834 is 447
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 4023/835, 9834/5705?
Answer: GCF of Numerators as per given numbers 4023/835, 9834/5705 is
GCF of Numerators i.e. for 4023,9834 is 447
LCM of denominators i.e. for 835,5705 is 952735.
Thus, GCF of Fractions is 447/952735.Finally, GCF of Fractions for 4023/835, 9834/5705 is 447/952735.