Use our free GCF of Fractions Calculator tool to compute the GCF of 405/633, 622/645 i.e 1/136095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 405/633, 622/645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 405/633,622/645
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 405/633,622/645, numerators are 405,622
Denominators are 633,645
The GCF of 405,622 is 1 .
LCM of 633,645 is 136095.
The greatest common factor of 405/633,622/645 = [GCF of 405,622]/[LCM of 633,645]= 1/136095
Therefore, the GCF of 405/633,622/645 is 1/136095.
To find the highest common factor of 405,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The factors of 622 are 1, 2, 311, 622
The HCF of 405,622 is 1.
Lets's calculate GCF of 405,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 405,622 . The biggest common factor number is the GCF number.
So the greatest common factor 405,622 is 1.
Lets's calculate LCM of 633,645
3 | 633, 645 |
211, 215 |
∴ So the LCM of the given numbers is 3 x 211 x 215 = 136095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136095
Therefore, the GCF of Fractions 405/633,622/645 is 1/136095
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 633,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,645) x common factors =3 x 1 = 3
LCM(633,645) = ( 633 × 645 ) / 3
LCM(633,645) = 408285 / 3
LCM(633,645) = 136095
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 405,622?
The HCF of 405,622 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 405/633, 622/645?
Answer: GCF of Numerators as per given numbers 405/633, 622/645 is
GCF of Numerators i.e. for 405,622 is 1
LCM of denominators i.e. for 633,645 is 136095.
Thus, GCF of Fractions is 1/136095.Finally, GCF of Fractions for 405/633, 622/645 is 1/136095.