Use our free GCF of Fractions Calculator tool to compute the GCF of 27/80, 873/93, 189/467 i.e 9/3474480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/80, 873/93, 189/467.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/80,873/93,189/467
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 27/80,873/93,189/467, numerators are 27,873,189
Denominators are 80,93,467
The GCF of 27,873,189 is 9 .
LCM of 80,93,467 is 3474480.
The greatest common factor of 27/80,873/93,189/467 = [GCF of 27,873,189]/[LCM of 80,93,467]= 9/3474480
Therefore, the GCF of 27/80,873/93,189/467 is 9/3474480.
To find the highest common factor of 27,873,189, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 873 are 1, 3, 9, 97, 291, 873
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The HCF of 27,873,189 is 9.
Lets's calculate GCF of 27,873,189
3 | 27, 873, 189 |
3 | 9, 291, 63 |
3, 97, 21 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 873
:1,3,9,97,291,873
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 27,873,189 . The biggest common factor number is the GCF number.
So the greatest common factor 27,873,189 is 9.
Lets's calculate LCM of 80,93,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 3474480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3474480
Therefore, the GCF of Fractions 27/80,873/93,189/467 is 9/3474480
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 80,93,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,93,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,93,467) x common factors =1 x 1 = 1
LCM(80,93,467) = ( 80 × 93 × 467 ) / 1
LCM(80,93,467) = 3474480 / 1
LCM(80,93,467) = 3474480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,873,189?
The HCF of 27,873,189 is 9
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 27/80, 873/93, 189/467?
Answer: GCF of Numerators as per given numbers 27/80, 873/93, 189/467 is
GCF of Numerators i.e. for 27,873,189 is 9
LCM of denominators i.e. for 80,93,467 is 3474480.
Thus, GCF of Fractions is 9/3474480.Finally, GCF of Fractions for 27/80, 873/93, 189/467 is 9/3474480.