Use our free GCF of Fractions Calculator tool to compute the GCF of 39/451, 37/3858 i.e 1/1739958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/451, 37/3858.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/451,37/3858
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 39/451,37/3858, numerators are 39,37
Denominators are 451,3858
The GCF of 39,37 is 1 .
LCM of 451,3858 is 1739958.
The greatest common factor of 39/451,37/3858 = [GCF of 39,37]/[LCM of 451,3858]= 1/1739958
Therefore, the GCF of 39/451,37/3858 is 1/1739958.
To find the highest common factor of 39,37, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 37 are 1, 37
The HCF of 39,37 is 1.
Lets's calculate GCF of 39,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 451,3858
Given numbers has no common factors except 1. So, there LCM is their product i.e 1739958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1739958
Therefore, the GCF of Fractions 39/451,37/3858 is 1/1739958
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 451,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,3858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,3858) x common factors =1 x 1 = 1
LCM(451,3858) = ( 451 × 3858 ) / 1
LCM(451,3858) = 1739958 / 1
LCM(451,3858) = 1739958
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,37?
The HCF of 39,37 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 39/451, 37/3858?
Answer: GCF of Numerators as per given numbers 39/451, 37/3858 is
GCF of Numerators i.e. for 39,37 is 1
LCM of denominators i.e. for 451,3858 is 1739958.
Thus, GCF of Fractions is 1/1739958.Finally, GCF of Fractions for 39/451, 37/3858 is 1/1739958.