Use our free GCF of Fractions Calculator tool to compute the GCF of 66/508, 573/792, 193/777 i.e 1/26051256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/508, 573/792, 193/777.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/508,573/792,193/777
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 66/508,573/792,193/777, numerators are 66,573,193
Denominators are 508,792,777
The GCF of 66,573,193 is 1 .
LCM of 508,792,777 is 26051256.
The greatest common factor of 66/508,573/792,193/777 = [GCF of 66,573,193]/[LCM of 508,792,777]= 1/26051256
Therefore, the GCF of 66/508,573/792,193/777 is 1/26051256.
To find the highest common factor of 66,573,193, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 573 are 1, 3, 191, 573
The factors of 193 are 1, 193
The HCF of 66,573,193 is 1.
Lets's calculate GCF of 66,573,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 573
:1,3,191,573
Now, list down the factors of 193
:1,193
Greatest Common Factor
We found the factors 66,573,193 . The biggest common factor number is the GCF number.
So the greatest common factor 66,573,193 is 1.
Lets's calculate LCM of 508,792,777
2 | 508, 792, 777 |
2 | 254, 396, 777 |
3 | 127, 198, 777 |
127, 66, 259 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 127 x 66 x 259 = 26051256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26051256
Therefore, the GCF of Fractions 66/508,573/792,193/777 is 1/26051256
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 508,792,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,792,777) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(508,792,777) x common factors =1 x 12 = 12
LCM(508,792,777) = ( 508 × 792 × 777 ) / 12
LCM(508,792,777) = 312615072 / 12
LCM(508,792,777) = 26051256
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,573,193?
The HCF of 66,573,193 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 66/508, 573/792, 193/777?
Answer: GCF of Numerators as per given numbers 66/508, 573/792, 193/777 is
GCF of Numerators i.e. for 66,573,193 is 1
LCM of denominators i.e. for 508,792,777 is 26051256.
Thus, GCF of Fractions is 1/26051256.Finally, GCF of Fractions for 66/508, 573/792, 193/777 is 1/26051256.