Use our free GCF of Fractions Calculator tool to compute the GCF of 18/46, 344/91, 849/787 i.e 1/3294382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/46, 344/91, 849/787.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/46,344/91,849/787
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 18/46,344/91,849/787, numerators are 18,344,849
Denominators are 46,91,787
The GCF of 18,344,849 is 1 .
LCM of 46,91,787 is 3294382.
The greatest common factor of 18/46,344/91,849/787 = [GCF of 18,344,849]/[LCM of 46,91,787]= 1/3294382
Therefore, the GCF of 18/46,344/91,849/787 is 1/3294382.
To find the highest common factor of 18,344,849, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 849 are 1, 3, 283, 849
The HCF of 18,344,849 is 1.
Lets's calculate GCF of 18,344,849
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 849
:1,3,283,849
Greatest Common Factor
We found the factors 18,344,849 . The biggest common factor number is the GCF number.
So the greatest common factor 18,344,849 is 1.
Lets's calculate LCM of 46,91,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 3294382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3294382
Therefore, the GCF of Fractions 18/46,344/91,849/787 is 1/3294382
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 46,91,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,91,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,91,787) x common factors =1 x 1 = 1
LCM(46,91,787) = ( 46 × 91 × 787 ) / 1
LCM(46,91,787) = 3294382 / 1
LCM(46,91,787) = 3294382
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 18,344,849?
The HCF of 18,344,849 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 18/46, 344/91, 849/787?
Answer: GCF of Numerators as per given numbers 18/46, 344/91, 849/787 is
GCF of Numerators i.e. for 18,344,849 is 1
LCM of denominators i.e. for 46,91,787 is 3294382.
Thus, GCF of Fractions is 1/3294382.Finally, GCF of Fractions for 18/46, 344/91, 849/787 is 1/3294382.