Use our free GCF of Fractions Calculator tool to compute the GCF of 318/391, 3041/5304 i.e 1/121992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/391, 3041/5304.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/391,3041/5304
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 318/391,3041/5304, numerators are 318,3041
Denominators are 391,5304
The GCF of 318,3041 is 1 .
LCM of 391,5304 is 121992.
The greatest common factor of 318/391,3041/5304 = [GCF of 318,3041]/[LCM of 391,5304]= 1/121992
Therefore, the GCF of 318/391,3041/5304 is 1/121992.
To find the highest common factor of 318,3041, we have to find the factors of both numbers and list the highest common factor.
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The factors of 3041 are 1, 3041
The HCF of 318,3041 is 1.
Lets's calculate GCF of 318,3041
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Now, list down the factors of 3041
:1,3041
Greatest Common Factor
We found the factors 318,3041 . The biggest common factor number is the GCF number.
So the greatest common factor 318,3041 is 1.
Lets's calculate LCM of 391,5304
17 | 391, 5304 |
23, 312 |
∴ So the LCM of the given numbers is 17 x 23 x 312 = 121992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121992
Therefore, the GCF of Fractions 318/391,3041/5304 is 1/121992
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 391,5304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,5304) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(391,5304) x common factors =17 x 1 = 17
LCM(391,5304) = ( 391 × 5304 ) / 17
LCM(391,5304) = 2073864 / 17
LCM(391,5304) = 121992
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 318,3041?
The HCF of 318,3041 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 318/391, 3041/5304?
Answer: GCF of Numerators as per given numbers 318/391, 3041/5304 is
GCF of Numerators i.e. for 318,3041 is 1
LCM of denominators i.e. for 391,5304 is 121992.
Thus, GCF of Fractions is 1/121992.Finally, GCF of Fractions for 318/391, 3041/5304 is 1/121992.