Use our free GCF of Fractions Calculator tool to compute the GCF of 15/73, 771/81, 111/728 i.e 3/4304664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/73, 771/81, 111/728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/73,771/81,111/728
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 15/73,771/81,111/728, numerators are 15,771,111
Denominators are 73,81,728
The GCF of 15,771,111 is 3 .
LCM of 73,81,728 is 4304664.
The greatest common factor of 15/73,771/81,111/728 = [GCF of 15,771,111]/[LCM of 73,81,728]= 3/4304664
Therefore, the GCF of 15/73,771/81,111/728 is 3/4304664.
To find the highest common factor of 15,771,111, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 771 are 1, 3, 257, 771
The factors of 111 are 1, 3, 37, 111
The HCF of 15,771,111 is 3.
Lets's calculate GCF of 15,771,111
3 | 15, 771, 111 |
5, 257, 37 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 771
:1,3,257,771
Now, list down the factors of 111
:1,3,37,111
Greatest Common Factor
We found the factors 15,771,111 . The biggest common factor number is the GCF number.
So the greatest common factor 15,771,111 is 3.
Lets's calculate LCM of 73,81,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 4304664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4304664
Therefore, the GCF of Fractions 15/73,771/81,111/728 is 3/4304664
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 73,81,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,81,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,81,728) x common factors =1 x 1 = 1
LCM(73,81,728) = ( 73 × 81 × 728 ) / 1
LCM(73,81,728) = 4304664 / 1
LCM(73,81,728) = 4304664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,771,111?
The HCF of 15,771,111 is 3
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 15/73, 771/81, 111/728?
Answer: GCF of Numerators as per given numbers 15/73, 771/81, 111/728 is
GCF of Numerators i.e. for 15,771,111 is 3
LCM of denominators i.e. for 73,81,728 is 4304664.
Thus, GCF of Fractions is 3/4304664.Finally, GCF of Fractions for 15/73, 771/81, 111/728 is 3/4304664.