Use our free GCF of Fractions Calculator tool to compute the GCF of 333/170, 726/918 i.e 3/4590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/170, 726/918.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/170,726/918
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 333/170,726/918, numerators are 333,726
Denominators are 170,918
The GCF of 333,726 is 3 .
LCM of 170,918 is 4590.
The greatest common factor of 333/170,726/918 = [GCF of 333,726]/[LCM of 170,918]= 3/4590
Therefore, the GCF of 333/170,726/918 is 3/4590.
To find the highest common factor of 333,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 333 are 1, 3, 9, 37, 111, 333
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 333,726 is 3.
Lets's calculate GCF of 333,726
3 | 333, 726 |
111, 242 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 333
:1,3,9,37,111,333
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 333,726 . The biggest common factor number is the GCF number.
So the greatest common factor 333,726 is 3.
Lets's calculate LCM of 170,918
2 | 170, 918 |
17 | 85, 459 |
5, 27 |
∴ So the LCM of the given numbers is 2 x 17 x 5 x 27 = 4590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4590
Therefore, the GCF of Fractions 333/170,726/918 is 3/4590
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 170,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,918) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(170,918) x common factors =34 x 1 = 34
LCM(170,918) = ( 170 × 918 ) / 34
LCM(170,918) = 156060 / 34
LCM(170,918) = 4590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 333,726?
The HCF of 333,726 is 3
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 333/170, 726/918?
Answer: GCF of Numerators as per given numbers 333/170, 726/918 is
GCF of Numerators i.e. for 333,726 is 3
LCM of denominators i.e. for 170,918 is 4590.
Thus, GCF of Fractions is 3/4590.Finally, GCF of Fractions for 333/170, 726/918 is 3/4590.