Use our free GCF of Fractions Calculator tool to compute the GCF of 16/100, 20/998, 802/673 i.e 2/33582700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/100, 20/998, 802/673.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/100,20/998,802/673
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 16/100,20/998,802/673, numerators are 16,20,802
Denominators are 100,998,673
The GCF of 16,20,802 is 2 .
LCM of 100,998,673 is 33582700.
The greatest common factor of 16/100,20/998,802/673 = [GCF of 16,20,802]/[LCM of 100,998,673]= 2/33582700
Therefore, the GCF of 16/100,20/998,802/673 is 2/33582700.
To find the highest common factor of 16,20,802, we have to find the factors of both numbers and list the highest common factor.
The factors of 16 are 1, 2, 4, 8, 16
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 802 are 1, 2, 401, 802
The HCF of 16,20,802 is 2.
Lets's calculate GCF of 16,20,802
2 | 16, 20, 802 |
8, 10, 401 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 802
:1,2,401,802
Greatest Common Factor
We found the factors 16,20,802 . The biggest common factor number is the GCF number.
So the greatest common factor 16,20,802 is 2.
Lets's calculate LCM of 100,998,673
2 | 100, 998, 673 |
50, 499, 673 |
∴ So the LCM of the given numbers is 2 x 50 x 499 x 673 = 33582700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33582700
Therefore, the GCF of Fractions 16/100,20/998,802/673 is 2/33582700
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 100,998,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,998,673) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(100,998,673) x common factors =1 x 2 = 2
LCM(100,998,673) = ( 100 × 998 × 673 ) / 2
LCM(100,998,673) = 67165400 / 2
LCM(100,998,673) = 33582700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 16,20,802?
The HCF of 16,20,802 is 2
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 16/100, 20/998, 802/673?
Answer: GCF of Numerators as per given numbers 16/100, 20/998, 802/673 is
GCF of Numerators i.e. for 16,20,802 is 2
LCM of denominators i.e. for 100,998,673 is 33582700.
Thus, GCF of Fractions is 2/33582700.Finally, GCF of Fractions for 16/100, 20/998, 802/673 is 2/33582700.