Use our free GCF of Fractions Calculator tool to compute the GCF of 485/656, 838/336 i.e 1/13776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/656, 838/336.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/656,838/336
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 485/656,838/336, numerators are 485,838
Denominators are 656,336
The GCF of 485,838 is 1 .
LCM of 656,336 is 13776.
The greatest common factor of 485/656,838/336 = [GCF of 485,838]/[LCM of 656,336]= 1/13776
Therefore, the GCF of 485/656,838/336 is 1/13776.
To find the highest common factor of 485,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 838 are 1, 2, 419, 838
The HCF of 485,838 is 1.
Lets's calculate GCF of 485,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 485,838 . The biggest common factor number is the GCF number.
So the greatest common factor 485,838 is 1.
Lets's calculate LCM of 656,336
2 | 656, 336 |
2 | 328, 168 |
2 | 164, 84 |
2 | 82, 42 |
41, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 21 = 13776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13776
Therefore, the GCF of Fractions 485/656,838/336 is 1/13776
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 656,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,336) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(656,336) x common factors =16 x 1 = 16
LCM(656,336) = ( 656 × 336 ) / 16
LCM(656,336) = 220416 / 16
LCM(656,336) = 13776
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 485,838?
The HCF of 485,838 is 1
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 485/656, 838/336?
Answer: GCF of Numerators as per given numbers 485/656, 838/336 is
GCF of Numerators i.e. for 485,838 is 1
LCM of denominators i.e. for 656,336 is 13776.
Thus, GCF of Fractions is 1/13776.Finally, GCF of Fractions for 485/656, 838/336 is 1/13776.