Use our free GCF of Fractions Calculator tool to compute the GCF of 105/579, 582/290 i.e 3/167910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 105/579, 582/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 105/579,582/290
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 105/579,582/290, numerators are 105,582
Denominators are 579,290
The GCF of 105,582 is 3 .
LCM of 579,290 is 167910.
The greatest common factor of 105/579,582/290 = [GCF of 105,582]/[LCM of 579,290]= 3/167910
Therefore, the GCF of 105/579,582/290 is 3/167910.
To find the highest common factor of 105,582, we have to find the factors of both numbers and list the highest common factor.
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 105,582 is 3.
Lets's calculate GCF of 105,582
3 | 105, 582 |
35, 194 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 105
:1,3,5,7,15,21,35,105
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 105,582 . The biggest common factor number is the GCF number.
So the greatest common factor 105,582 is 3.
Lets's calculate LCM of 579,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 167910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/167910
Therefore, the GCF of Fractions 105/579,582/290 is 3/167910
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 579,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,290) x common factors =1 x 1 = 1
LCM(579,290) = ( 579 × 290 ) / 1
LCM(579,290) = 167910 / 1
LCM(579,290) = 167910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 105,582?
The HCF of 105,582 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 105/579, 582/290?
Answer: GCF of Numerators as per given numbers 105/579, 582/290 is
GCF of Numerators i.e. for 105,582 is 3
LCM of denominators i.e. for 579,290 is 167910.
Thus, GCF of Fractions is 3/167910.Finally, GCF of Fractions for 105/579, 582/290 is 3/167910.