Use our free GCF of Fractions Calculator tool to compute the GCF of 543/589, 162/893 i.e 3/27683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/589, 162/893.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/589,162/893
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 543/589,162/893, numerators are 543,162
Denominators are 589,893
The GCF of 543,162 is 3 .
LCM of 589,893 is 27683.
The greatest common factor of 543/589,162/893 = [GCF of 543,162]/[LCM of 589,893]= 3/27683
Therefore, the GCF of 543/589,162/893 is 3/27683.
To find the highest common factor of 543,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 543,162 is 3.
Lets's calculate GCF of 543,162
3 | 543, 162 |
181, 54 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 543,162 . The biggest common factor number is the GCF number.
So the greatest common factor 543,162 is 3.
Lets's calculate LCM of 589,893
19 | 589, 893 |
31, 47 |
∴ So the LCM of the given numbers is 19 x 31 x 47 = 27683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27683
Therefore, the GCF of Fractions 543/589,162/893 is 3/27683
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 589,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,893) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(589,893) x common factors =19 x 1 = 19
LCM(589,893) = ( 589 × 893 ) / 19
LCM(589,893) = 525977 / 19
LCM(589,893) = 27683
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 543,162?
The HCF of 543,162 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 543/589, 162/893?
Answer: GCF of Numerators as per given numbers 543/589, 162/893 is
GCF of Numerators i.e. for 543,162 is 3
LCM of denominators i.e. for 589,893 is 27683.
Thus, GCF of Fractions is 3/27683.Finally, GCF of Fractions for 543/589, 162/893 is 3/27683.