Use our free GCF of Fractions Calculator tool to compute the GCF of 2106/838, 9934/8670 i.e 2/3632730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2106/838, 9934/8670.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2106/838,9934/8670
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 2106/838,9934/8670, numerators are 2106,9934
Denominators are 838,8670
The GCF of 2106,9934 is 2 .
LCM of 838,8670 is 3632730.
The greatest common factor of 2106/838,9934/8670 = [GCF of 2106,9934]/[LCM of 838,8670]= 2/3632730
Therefore, the GCF of 2106/838,9934/8670 is 2/3632730.
To find the highest common factor of 2106,9934, we have to find the factors of both numbers and list the highest common factor.
The factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106
The factors of 9934 are 1, 2, 4967, 9934
The HCF of 2106,9934 is 2.
Lets's calculate GCF of 2106,9934
2 | 2106, 9934 |
1053, 4967 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 2106
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106
Now, list down the factors of 9934
:1,2,4967,9934
Greatest Common Factor
We found the factors 2106,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 2106,9934 is 2.
Lets's calculate LCM of 838,8670
2 | 838, 8670 |
419, 4335 |
∴ So the LCM of the given numbers is 2 x 419 x 4335 = 3632730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3632730
Therefore, the GCF of Fractions 2106/838,9934/8670 is 2/3632730
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 838,8670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,8670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,8670) x common factors =2 x 1 = 2
LCM(838,8670) = ( 838 × 8670 ) / 2
LCM(838,8670) = 7265460 / 2
LCM(838,8670) = 3632730
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2106,9934?
The HCF of 2106,9934 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 2106/838, 9934/8670?
Answer: GCF of Numerators as per given numbers 2106/838, 9934/8670 is
GCF of Numerators i.e. for 2106,9934 is 2
LCM of denominators i.e. for 838,8670 is 3632730.
Thus, GCF of Fractions is 2/3632730.Finally, GCF of Fractions for 2106/838, 9934/8670 is 2/3632730.