Use our free GCF of Fractions Calculator tool to compute the GCF of 94/357, 330/721 i.e 2/36771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/357, 330/721.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/357,330/721
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 94/357,330/721, numerators are 94,330
Denominators are 357,721
The GCF of 94,330 is 2 .
LCM of 357,721 is 36771.
The greatest common factor of 94/357,330/721 = [GCF of 94,330]/[LCM of 357,721]= 2/36771
Therefore, the GCF of 94/357,330/721 is 2/36771.
To find the highest common factor of 94,330, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The HCF of 94,330 is 2.
Lets's calculate GCF of 94,330
2 | 94, 330 |
47, 165 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 94,330 . The biggest common factor number is the GCF number.
So the greatest common factor 94,330 is 2.
Lets's calculate LCM of 357,721
7 | 357, 721 |
51, 103 |
∴ So the LCM of the given numbers is 7 x 51 x 103 = 36771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36771
Therefore, the GCF of Fractions 94/357,330/721 is 2/36771
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 357,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,721) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(357,721) x common factors =7 x 1 = 7
LCM(357,721) = ( 357 × 721 ) / 7
LCM(357,721) = 257397 / 7
LCM(357,721) = 36771
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,330?
The HCF of 94,330 is 2
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 94/357, 330/721?
Answer: GCF of Numerators as per given numbers 94/357, 330/721 is
GCF of Numerators i.e. for 94,330 is 2
LCM of denominators i.e. for 357,721 is 36771.
Thus, GCF of Fractions is 2/36771.Finally, GCF of Fractions for 94/357, 330/721 is 2/36771.