Use our free GCF of Fractions Calculator tool to compute the GCF of 39/271, 73/753 i.e 1/204063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/271, 73/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/271,73/753
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 39/271,73/753, numerators are 39,73
Denominators are 271,753
The GCF of 39,73 is 1 .
LCM of 271,753 is 204063.
The greatest common factor of 39/271,73/753 = [GCF of 39,73]/[LCM of 271,753]= 1/204063
Therefore, the GCF of 39/271,73/753 is 1/204063.
To find the highest common factor of 39,73, 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 73 are 1, 73
The HCF of 39,73 is 1.
Lets's calculate GCF of 39,73
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 271,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 204063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204063
Therefore, the GCF of Fractions 39/271,73/753 is 1/204063
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 271,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,753) x common factors =1 x 1 = 1
LCM(271,753) = ( 271 × 753 ) / 1
LCM(271,753) = 204063 / 1
LCM(271,753) = 204063
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,73?
The HCF of 39,73 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 39/271, 73/753?
Answer: GCF of Numerators as per given numbers 39/271, 73/753 is
GCF of Numerators i.e. for 39,73 is 1
LCM of denominators i.e. for 271,753 is 204063.
Thus, GCF of Fractions is 1/204063.Finally, GCF of Fractions for 39/271, 73/753 is 1/204063.