Use our free GCF of Fractions Calculator tool to compute the GCF of 603/149, 665/771 i.e 1/114879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/149, 665/771.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/149,665/771
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 603/149,665/771, numerators are 603,665
Denominators are 149,771
The GCF of 603,665 is 1 .
LCM of 149,771 is 114879.
The greatest common factor of 603/149,665/771 = [GCF of 603,665]/[LCM of 149,771]= 1/114879
Therefore, the GCF of 603/149,665/771 is 1/114879.
To find the highest common factor of 603,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 603,665 is 1.
Lets's calculate GCF of 603,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 603,665 . The biggest common factor number is the GCF number.
So the greatest common factor 603,665 is 1.
Lets's calculate LCM of 149,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 114879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114879
Therefore, the GCF of Fractions 603/149,665/771 is 1/114879
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 149,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,771) x common factors =1 x 1 = 1
LCM(149,771) = ( 149 × 771 ) / 1
LCM(149,771) = 114879 / 1
LCM(149,771) = 114879
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 603,665?
The HCF of 603,665 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 603/149, 665/771?
Answer: GCF of Numerators as per given numbers 603/149, 665/771 is
GCF of Numerators i.e. for 603,665 is 1
LCM of denominators i.e. for 149,771 is 114879.
Thus, GCF of Fractions is 1/114879.Finally, GCF of Fractions for 603/149, 665/771 is 1/114879.