Use our free GCF of Fractions Calculator tool to compute the GCF of 57/507, 20/483, 313/661 i.e 1/53955447 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/507, 20/483, 313/661.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/507,20/483,313/661
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 57/507,20/483,313/661, numerators are 57,20,313
Denominators are 507,483,661
The GCF of 57,20,313 is 1 .
LCM of 507,483,661 is 53955447.
The greatest common factor of 57/507,20/483,313/661 = [GCF of 57,20,313]/[LCM of 507,483,661]= 1/53955447
Therefore, the GCF of 57/507,20/483,313/661 is 1/53955447.
To find the highest common factor of 57,20,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 313 are 1, 313
The HCF of 57,20,313 is 1.
Lets's calculate GCF of 57,20,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 57,20,313 . The biggest common factor number is the GCF number.
So the greatest common factor 57,20,313 is 1.
Lets's calculate LCM of 507,483,661
3 | 507, 483, 661 |
169, 161, 661 |
∴ So the LCM of the given numbers is 3 x 169 x 161 x 661 = 53955447
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53955447
Therefore, the GCF of Fractions 57/507,20/483,313/661 is 1/53955447
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 507,483,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,483,661) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(507,483,661) x common factors =1 x 3 = 3
LCM(507,483,661) = ( 507 × 483 × 661 ) / 3
LCM(507,483,661) = 161866341 / 3
LCM(507,483,661) = 53955447
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 57,20,313?
The HCF of 57,20,313 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 57/507, 20/483, 313/661?
Answer: GCF of Numerators as per given numbers 57/507, 20/483, 313/661 is
GCF of Numerators i.e. for 57,20,313 is 1
LCM of denominators i.e. for 507,483,661 is 53955447.
Thus, GCF of Fractions is 1/53955447.Finally, GCF of Fractions for 57/507, 20/483, 313/661 is 1/53955447.