Use our free GCF of Fractions Calculator tool to compute the GCF of 13/507, 57/4775 i.e 1/2420925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/507, 57/4775.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/507,57/4775
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 13/507,57/4775, numerators are 13,57
Denominators are 507,4775
The GCF of 13,57 is 1 .
LCM of 507,4775 is 2420925.
The greatest common factor of 13/507,57/4775 = [GCF of 13,57]/[LCM of 507,4775]= 1/2420925
Therefore, the GCF of 13/507,57/4775 is 1/2420925.
To find the highest common factor of 13,57, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 57 are 1, 3, 19, 57
The HCF of 13,57 is 1.
Lets's calculate GCF of 13,57
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 507,4775
Given numbers has no common factors except 1. So, there LCM is their product i.e 2420925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2420925
Therefore, the GCF of Fractions 13/507,57/4775 is 1/2420925
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 507,4775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,4775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,4775) x common factors =1 x 1 = 1
LCM(507,4775) = ( 507 × 4775 ) / 1
LCM(507,4775) = 2420925 / 1
LCM(507,4775) = 2420925
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,57?
The HCF of 13,57 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 13/507, 57/4775?
Answer: GCF of Numerators as per given numbers 13/507, 57/4775 is
GCF of Numerators i.e. for 13,57 is 1
LCM of denominators i.e. for 507,4775 is 2420925.
Thus, GCF of Fractions is 1/2420925.Finally, GCF of Fractions for 13/507, 57/4775 is 1/2420925.