Use our free GCF of Fractions Calculator tool to compute the GCF of 12/23, 431/45, 728/409 i.e 1/423315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/23, 431/45, 728/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/23,431/45,728/409
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 12/23,431/45,728/409, numerators are 12,431,728
Denominators are 23,45,409
The GCF of 12,431,728 is 1 .
LCM of 23,45,409 is 423315.
The greatest common factor of 12/23,431/45,728/409 = [GCF of 12,431,728]/[LCM of 23,45,409]= 1/423315
Therefore, the GCF of 12/23,431/45,728/409 is 1/423315.
To find the highest common factor of 12,431,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 431 are 1, 431
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 12,431,728 is 1.
Lets's calculate GCF of 12,431,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 431
:1,431
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 12,431,728 . The biggest common factor number is the GCF number.
So the greatest common factor 12,431,728 is 1.
Lets's calculate LCM of 23,45,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 423315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423315
Therefore, the GCF of Fractions 12/23,431/45,728/409 is 1/423315
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 23,45,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,45,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,45,409) x common factors =1 x 1 = 1
LCM(23,45,409) = ( 23 × 45 × 409 ) / 1
LCM(23,45,409) = 423315 / 1
LCM(23,45,409) = 423315
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 12,431,728?
The HCF of 12,431,728 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 12/23, 431/45, 728/409?
Answer: GCF of Numerators as per given numbers 12/23, 431/45, 728/409 is
GCF of Numerators i.e. for 12,431,728 is 1
LCM of denominators i.e. for 23,45,409 is 423315.
Thus, GCF of Fractions is 1/423315.Finally, GCF of Fractions for 12/23, 431/45, 728/409 is 1/423315.