Use our free GCF of Fractions Calculator tool to compute the GCF of 77/866, 23/734, 362/333 i.e 1/105834726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/866, 23/734, 362/333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/866,23/734,362/333
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 77/866,23/734,362/333, numerators are 77,23,362
Denominators are 866,734,333
The GCF of 77,23,362 is 1 .
LCM of 866,734,333 is 105834726.
The greatest common factor of 77/866,23/734,362/333 = [GCF of 77,23,362]/[LCM of 866,734,333]= 1/105834726
Therefore, the GCF of 77/866,23/734,362/333 is 1/105834726.
To find the highest common factor of 77,23,362, 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 23 are 1, 23
The factors of 362 are 1, 2, 181, 362
The HCF of 77,23,362 is 1.
Lets's calculate GCF of 77,23,362
∴ 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 23
:1,23
Now, list down the factors of 362
:1,2,181,362
Greatest Common Factor
We found the factors 77,23,362 . The biggest common factor number is the GCF number.
So the greatest common factor 77,23,362 is 1.
Lets's calculate LCM of 866,734,333
2 | 866, 734, 333 |
433, 367, 333 |
∴ So the LCM of the given numbers is 2 x 433 x 367 x 333 = 105834726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105834726
Therefore, the GCF of Fractions 77/866,23/734,362/333 is 1/105834726
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 866,734,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,734,333) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(866,734,333) x common factors =1 x 2 = 2
LCM(866,734,333) = ( 866 × 734 × 333 ) / 2
LCM(866,734,333) = 211669452 / 2
LCM(866,734,333) = 105834726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,23,362?
The HCF of 77,23,362 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 77/866, 23/734, 362/333?
Answer: GCF of Numerators as per given numbers 77/866, 23/734, 362/333 is
GCF of Numerators i.e. for 77,23,362 is 1
LCM of denominators i.e. for 866,734,333 is 105834726.
Thus, GCF of Fractions is 1/105834726.Finally, GCF of Fractions for 77/866, 23/734, 362/333 is 1/105834726.