Use our free GCF of Fractions Calculator tool to compute the GCF of 18/217, 381/984, 871/500 i.e 1/26691000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/217, 381/984, 871/500.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/217,381/984,871/500
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 18/217,381/984,871/500, numerators are 18,381,871
Denominators are 217,984,500
The GCF of 18,381,871 is 1 .
LCM of 217,984,500 is 26691000.
The greatest common factor of 18/217,381/984,871/500 = [GCF of 18,381,871]/[LCM of 217,984,500]= 1/26691000
Therefore, the GCF of 18/217,381/984,871/500 is 1/26691000.
To find the highest common factor of 18,381,871, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 381 are 1, 3, 127, 381
The factors of 871 are 1, 13, 67, 871
The HCF of 18,381,871 is 1.
Lets's calculate GCF of 18,381,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 381
:1,3,127,381
Now, list down the factors of 871
:1,13,67,871
Greatest Common Factor
We found the factors 18,381,871 . The biggest common factor number is the GCF number.
So the greatest common factor 18,381,871 is 1.
Lets's calculate LCM of 217,984,500
2 | 217, 984, 500 |
2 | 217, 492, 250 |
217, 246, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 217 x 246 x 125 = 26691000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26691000
Therefore, the GCF of Fractions 18/217,381/984,871/500 is 1/26691000
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 217,984,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,984,500) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(217,984,500) x common factors =1 x 4 = 4
LCM(217,984,500) = ( 217 × 984 × 500 ) / 4
LCM(217,984,500) = 106764000 / 4
LCM(217,984,500) = 26691000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,381,871?
The HCF of 18,381,871 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 18/217, 381/984, 871/500?
Answer: GCF of Numerators as per given numbers 18/217, 381/984, 871/500 is
GCF of Numerators i.e. for 18,381,871 is 1
LCM of denominators i.e. for 217,984,500 is 26691000.
Thus, GCF of Fractions is 1/26691000.Finally, GCF of Fractions for 18/217, 381/984, 871/500 is 1/26691000.