Use our free GCF of Fractions Calculator tool to compute the GCF of 77/397, 82/886, 600/199 i.e 1/69996658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/397, 82/886, 600/199.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/397,82/886,600/199
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 77/397,82/886,600/199, numerators are 77,82,600
Denominators are 397,886,199
The GCF of 77,82,600 is 1 .
LCM of 397,886,199 is 69996658.
The greatest common factor of 77/397,82/886,600/199 = [GCF of 77,82,600]/[LCM of 397,886,199]= 1/69996658
Therefore, the GCF of 77/397,82/886,600/199 is 1/69996658.
To find the highest common factor of 77,82,600, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 82 are 1, 2, 41, 82
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The HCF of 77,82,600 is 1.
Lets's calculate GCF of 77,82,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 77,82,600 . The biggest common factor number is the GCF number.
So the greatest common factor 77,82,600 is 1.
Lets's calculate LCM of 397,886,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 69996658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69996658
Therefore, the GCF of Fractions 77/397,82/886,600/199 is 1/69996658
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 397,886,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,886,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,886,199) x common factors =1 x 1 = 1
LCM(397,886,199) = ( 397 × 886 × 199 ) / 1
LCM(397,886,199) = 69996658 / 1
LCM(397,886,199) = 69996658
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,82,600?
The HCF of 77,82,600 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 77/397, 82/886, 600/199?
Answer: GCF of Numerators as per given numbers 77/397, 82/886, 600/199 is
GCF of Numerators i.e. for 77,82,600 is 1
LCM of denominators i.e. for 397,886,199 is 69996658.
Thus, GCF of Fractions is 1/69996658.Finally, GCF of Fractions for 77/397, 82/886, 600/199 is 1/69996658.