Use our free GCF of Fractions Calculator tool to compute the GCF of 845/117, 455/464 i.e 65/54288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/117, 455/464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/117,455/464
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 845/117,455/464, numerators are 845,455
Denominators are 117,464
The GCF of 845,455 is 65 .
LCM of 117,464 is 54288.
The greatest common factor of 845/117,455/464 = [GCF of 845,455]/[LCM of 117,464]= 65/54288
Therefore, the GCF of 845/117,455/464 is 65/54288.
To find the highest common factor of 845,455, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The HCF of 845,455 is 65.
Lets's calculate GCF of 845,455
5 | 845, 455 |
13 | 169, 91 |
13, 7 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 845,455 . The biggest common factor number is the GCF number.
So the greatest common factor 845,455 is 65.
Lets's calculate LCM of 117,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 54288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/54288
Therefore, the GCF of Fractions 845/117,455/464 is 65/54288
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 117,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,464) x common factors =1 x 1 = 1
LCM(117,464) = ( 117 × 464 ) / 1
LCM(117,464) = 54288 / 1
LCM(117,464) = 54288
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 845,455?
The HCF of 845,455 is 65
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 845/117, 455/464?
Answer: GCF of Numerators as per given numbers 845/117, 455/464 is
GCF of Numerators i.e. for 845,455 is 65
LCM of denominators i.e. for 117,464 is 54288.
Thus, GCF of Fractions is 65/54288.Finally, GCF of Fractions for 845/117, 455/464 is 65/54288.