Use our free GCF of Fractions Calculator tool to compute the GCF of 14/327, 83/872, 401/100 i.e 1/65400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/327, 83/872, 401/100.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/327,83/872,401/100
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 14/327,83/872,401/100, numerators are 14,83,401
Denominators are 327,872,100
The GCF of 14,83,401 is 1 .
LCM of 327,872,100 is 65400.
The greatest common factor of 14/327,83/872,401/100 = [GCF of 14,83,401]/[LCM of 327,872,100]= 1/65400
Therefore, the GCF of 14/327,83/872,401/100 is 1/65400.
To find the highest common factor of 14,83,401, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 83 are 1, 83
The factors of 401 are 1, 401
The HCF of 14,83,401 is 1.
Lets's calculate GCF of 14,83,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 83
:1,83
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 14,83,401 . The biggest common factor number is the GCF number.
So the greatest common factor 14,83,401 is 1.
Lets's calculate LCM of 327,872,100
2 | 327, 872, 100 |
2 | 327, 436, 50 |
109 | 327, 218, 25 |
3, 2, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 3 x 2 x 25 = 65400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65400
Therefore, the GCF of Fractions 14/327,83/872,401/100 is 1/65400
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 327,872,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,872,100) = 1
common factors(in case of two or more numbers have common factors) = 436
GCF(327,872,100) x common factors =1 x 436 = 436
LCM(327,872,100) = ( 327 × 872 × 100 ) / 436
LCM(327,872,100) = 28514400 / 436
LCM(327,872,100) = 65400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,83,401?
The HCF of 14,83,401 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 14/327, 83/872, 401/100?
Answer: GCF of Numerators as per given numbers 14/327, 83/872, 401/100 is
GCF of Numerators i.e. for 14,83,401 is 1
LCM of denominators i.e. for 327,872,100 is 65400.
Thus, GCF of Fractions is 1/65400.Finally, GCF of Fractions for 14/327, 83/872, 401/100 is 1/65400.