Use our free GCF of Fractions Calculator tool to compute the GCF of 16/699, 16/9924 i.e 16/2312292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/699, 16/9924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/699,16/9924
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 16/699,16/9924, numerators are 16,16
Denominators are 699,9924
The GCF of 16,16 is 16 .
LCM of 699,9924 is 2312292.
The greatest common factor of 16/699,16/9924 = [GCF of 16,16]/[LCM of 699,9924]= 16/2312292
Therefore, the GCF of 16/699,16/9924 is 16/2312292.
To find the highest common factor of 16,16, 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 16 are 1, 2, 4, 8, 16
The HCF of 16,16 is 16.
Lets's calculate GCF of 16,16
2 | 16, 16 |
2 | 8, 8 |
2 | 4, 4 |
2 | 2, 2 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 16
:1,2,4,8,16
Greatest Common Factor
We found the factors 16,16 . The biggest common factor number is the GCF number.
So the greatest common factor 16,16 is 16.
Lets's calculate LCM of 699,9924
3 | 699, 9924 |
233, 3308 |
∴ So the LCM of the given numbers is 3 x 233 x 3308 = 2312292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2312292
Therefore, the GCF of Fractions 16/699,16/9924 is 16/2312292
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 699,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,9924) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,9924) x common factors =3 x 1 = 3
LCM(699,9924) = ( 699 × 9924 ) / 3
LCM(699,9924) = 6936876 / 3
LCM(699,9924) = 2312292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 16,16?
The HCF of 16,16 is 16
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 16/699, 16/9924?
Answer: GCF of Numerators as per given numbers 16/699, 16/9924 is
GCF of Numerators i.e. for 16,16 is 16
LCM of denominators i.e. for 699,9924 is 2312292.
Thus, GCF of Fractions is 16/2312292.Finally, GCF of Fractions for 16/699, 16/9924 is 16/2312292.