Use our free GCF of Fractions Calculator tool to compute the GCF of 20/87, 183/60, 729/109 i.e 1/189660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/87, 183/60, 729/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/87,183/60,729/109
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 20/87,183/60,729/109, numerators are 20,183,729
Denominators are 87,60,109
The GCF of 20,183,729 is 1 .
LCM of 87,60,109 is 189660.
The greatest common factor of 20/87,183/60,729/109 = [GCF of 20,183,729]/[LCM of 87,60,109]= 1/189660
Therefore, the GCF of 20/87,183/60,729/109 is 1/189660.
To find the highest common factor of 20,183,729, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 183 are 1, 3, 61, 183
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The HCF of 20,183,729 is 1.
Lets's calculate GCF of 20,183,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 183
:1,3,61,183
Now, list down the factors of 729
:1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 20,183,729 . The biggest common factor number is the GCF number.
So the greatest common factor 20,183,729 is 1.
Lets's calculate LCM of 87,60,109
3 | 87, 60, 109 |
29, 20, 109 |
∴ So the LCM of the given numbers is 3 x 29 x 20 x 109 = 189660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189660
Therefore, the GCF of Fractions 20/87,183/60,729/109 is 1/189660
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 87,60,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,60,109) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,60,109) x common factors =1 x 3 = 3
LCM(87,60,109) = ( 87 × 60 × 109 ) / 3
LCM(87,60,109) = 568980 / 3
LCM(87,60,109) = 189660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,183,729?
The HCF of 20,183,729 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 20/87, 183/60, 729/109?
Answer: GCF of Numerators as per given numbers 20/87, 183/60, 729/109 is
GCF of Numerators i.e. for 20,183,729 is 1
LCM of denominators i.e. for 87,60,109 is 189660.
Thus, GCF of Fractions is 1/189660.Finally, GCF of Fractions for 20/87, 183/60, 729/109 is 1/189660.