Use our free GCF of Fractions Calculator tool to compute the GCF of 64/45, 607/43, 406/409 i.e 1/791415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/45, 607/43, 406/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/45,607/43,406/409
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 64/45,607/43,406/409, numerators are 64,607,406
Denominators are 45,43,409
The GCF of 64,607,406 is 1 .
LCM of 45,43,409 is 791415.
The greatest common factor of 64/45,607/43,406/409 = [GCF of 64,607,406]/[LCM of 45,43,409]= 1/791415
Therefore, the GCF of 64/45,607/43,406/409 is 1/791415.
To find the highest common factor of 64,607,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 607 are 1, 607
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 64,607,406 is 1.
Lets's calculate GCF of 64,607,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 607
:1,607
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 64,607,406 . The biggest common factor number is the GCF number.
So the greatest common factor 64,607,406 is 1.
Lets's calculate LCM of 45,43,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 791415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791415
Therefore, the GCF of Fractions 64/45,607/43,406/409 is 1/791415
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 45,43,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,43,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,43,409) x common factors =1 x 1 = 1
LCM(45,43,409) = ( 45 × 43 × 409 ) / 1
LCM(45,43,409) = 791415 / 1
LCM(45,43,409) = 791415
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 64,607,406?
The HCF of 64,607,406 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 64/45, 607/43, 406/409?
Answer: GCF of Numerators as per given numbers 64/45, 607/43, 406/409 is
GCF of Numerators i.e. for 64,607,406 is 1
LCM of denominators i.e. for 45,43,409 is 791415.
Thus, GCF of Fractions is 1/791415.Finally, GCF of Fractions for 64/45, 607/43, 406/409 is 1/791415.