Use our free GCF of Fractions Calculator tool to compute the GCF of 16/715, 900/784, 548/857 i.e 4/480399920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/715, 900/784, 548/857.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/715,900/784,548/857
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 16/715,900/784,548/857, numerators are 16,900,548
Denominators are 715,784,857
The GCF of 16,900,548 is 4 .
LCM of 715,784,857 is 480399920.
The greatest common factor of 16/715,900/784,548/857 = [GCF of 16,900,548]/[LCM of 715,784,857]= 4/480399920
Therefore, the GCF of 16/715,900/784,548/857 is 4/480399920.
To find the highest common factor of 16,900,548, 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 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 548 are 1, 2, 4, 137, 274, 548
The HCF of 16,900,548 is 4.
Lets's calculate GCF of 16,900,548
2 | 16, 900, 548 |
2 | 8, 450, 274 |
4, 225, 137 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 548
:1,2,4,137,274,548
Greatest Common Factor
We found the factors 16,900,548 . The biggest common factor number is the GCF number.
So the greatest common factor 16,900,548 is 4.
Lets's calculate LCM of 715,784,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 480399920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/480399920
Therefore, the GCF of Fractions 16/715,900/784,548/857 is 4/480399920
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 715,784,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,784,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,784,857) x common factors =1 x 1 = 1
LCM(715,784,857) = ( 715 × 784 × 857 ) / 1
LCM(715,784,857) = 480399920 / 1
LCM(715,784,857) = 480399920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 16,900,548?
The HCF of 16,900,548 is 4
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 16/715, 900/784, 548/857?
Answer: GCF of Numerators as per given numbers 16/715, 900/784, 548/857 is
GCF of Numerators i.e. for 16,900,548 is 4
LCM of denominators i.e. for 715,784,857 is 480399920.
Thus, GCF of Fractions is 4/480399920.Finally, GCF of Fractions for 16/715, 900/784, 548/857 is 4/480399920.