Use our free GCF of Fractions Calculator tool to compute the GCF of 87/383, 24/459, 455/201 i.e 1/11778399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/383, 24/459, 455/201.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/383,24/459,455/201
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 87/383,24/459,455/201, numerators are 87,24,455
Denominators are 383,459,201
The GCF of 87,24,455 is 1 .
LCM of 383,459,201 is 11778399.
The greatest common factor of 87/383,24/459,455/201 = [GCF of 87,24,455]/[LCM of 383,459,201]= 1/11778399
Therefore, the GCF of 87/383,24/459,455/201 is 1/11778399.
To find the highest common factor of 87,24,455, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The HCF of 87,24,455 is 1.
Lets's calculate GCF of 87,24,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 87,24,455 . The biggest common factor number is the GCF number.
So the greatest common factor 87,24,455 is 1.
Lets's calculate LCM of 383,459,201
3 | 383, 459, 201 |
383, 153, 67 |
∴ So the LCM of the given numbers is 3 x 383 x 153 x 67 = 11778399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11778399
Therefore, the GCF of Fractions 87/383,24/459,455/201 is 1/11778399
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 383,459,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,459,201) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(383,459,201) x common factors =1 x 3 = 3
LCM(383,459,201) = ( 383 × 459 × 201 ) / 3
LCM(383,459,201) = 35335197 / 3
LCM(383,459,201) = 11778399
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,24,455?
The HCF of 87,24,455 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 87/383, 24/459, 455/201?
Answer: GCF of Numerators as per given numbers 87/383, 24/459, 455/201 is
GCF of Numerators i.e. for 87,24,455 is 1
LCM of denominators i.e. for 383,459,201 is 11778399.
Thus, GCF of Fractions is 1/11778399.Finally, GCF of Fractions for 87/383, 24/459, 455/201 is 1/11778399.