Use our free GCF of Fractions Calculator tool to compute the GCF of 444/799, 164/293 i.e 4/234107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/799, 164/293.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/799,164/293
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 444/799,164/293, numerators are 444,164
Denominators are 799,293
The GCF of 444,164 is 4 .
LCM of 799,293 is 234107.
The greatest common factor of 444/799,164/293 = [GCF of 444,164]/[LCM of 799,293]= 4/234107
Therefore, the GCF of 444/799,164/293 is 4/234107.
To find the highest common factor of 444,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 444,164 is 4.
Lets's calculate GCF of 444,164
2 | 444, 164 |
2 | 222, 82 |
111, 41 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 444,164 . The biggest common factor number is the GCF number.
So the greatest common factor 444,164 is 4.
Lets's calculate LCM of 799,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 234107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/234107
Therefore, the GCF of Fractions 444/799,164/293 is 4/234107
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 799,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,293) x common factors =1 x 1 = 1
LCM(799,293) = ( 799 × 293 ) / 1
LCM(799,293) = 234107 / 1
LCM(799,293) = 234107
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 444,164?
The HCF of 444,164 is 4
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 444/799, 164/293?
Answer: GCF of Numerators as per given numbers 444/799, 164/293 is
GCF of Numerators i.e. for 444,164 is 4
LCM of denominators i.e. for 799,293 is 234107.
Thus, GCF of Fractions is 4/234107.Finally, GCF of Fractions for 444/799, 164/293 is 4/234107.