Use our free GCF of Fractions Calculator tool to compute the GCF of 87/605, 39/363, 543/108 i.e 3/65340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/605, 39/363, 543/108.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/605,39/363,543/108
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 87/605,39/363,543/108, numerators are 87,39,543
Denominators are 605,363,108
The GCF of 87,39,543 is 3 .
LCM of 605,363,108 is 65340.
The greatest common factor of 87/605,39/363,543/108 = [GCF of 87,39,543]/[LCM of 605,363,108]= 3/65340
Therefore, the GCF of 87/605,39/363,543/108 is 3/65340.
To find the highest common factor of 87,39,543, 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 39 are 1, 3, 13, 39
The factors of 543 are 1, 3, 181, 543
The HCF of 87,39,543 is 3.
Lets's calculate GCF of 87,39,543
3 | 87, 39, 543 |
29, 13, 181 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 543
:1,3,181,543
Greatest Common Factor
We found the factors 87,39,543 . The biggest common factor number is the GCF number.
So the greatest common factor 87,39,543 is 3.
Lets's calculate LCM of 605,363,108
3 | 605, 363, 108 |
11 | 605, 121, 36 |
11 | 55, 11, 36 |
5, 1, 36 |
∴ So the LCM of the given numbers is 3 x 11 x 11 x 5 x 1 x 36 = 65340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65340
Therefore, the GCF of Fractions 87/605,39/363,543/108 is 3/65340
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 605,363,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,363,108) = 1
common factors(in case of two or more numbers have common factors) = 363
GCF(605,363,108) x common factors =1 x 363 = 363
LCM(605,363,108) = ( 605 × 363 × 108 ) / 363
LCM(605,363,108) = 23718420 / 363
LCM(605,363,108) = 65340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,39,543?
The HCF of 87,39,543 is 3
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 87/605, 39/363, 543/108?
Answer: GCF of Numerators as per given numbers 87/605, 39/363, 543/108 is
GCF of Numerators i.e. for 87,39,543 is 3
LCM of denominators i.e. for 605,363,108 is 65340.
Thus, GCF of Fractions is 3/65340.Finally, GCF of Fractions for 87/605, 39/363, 543/108 is 3/65340.