Use our free GCF of Fractions Calculator tool to compute the GCF of 603/315, 402/811 i.e 201/255465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/315, 402/811.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/315,402/811
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 603/315,402/811, numerators are 603,402
Denominators are 315,811
The GCF of 603,402 is 201 .
LCM of 315,811 is 255465.
The greatest common factor of 603/315,402/811 = [GCF of 603,402]/[LCM of 315,811]= 201/255465
Therefore, the GCF of 603/315,402/811 is 201/255465.
To find the highest common factor of 603,402, 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 402 are 1, 2, 3, 6, 67, 134, 201, 402
The HCF of 603,402 is 201.
Lets's calculate GCF of 603,402
3 | 603, 402 |
67 | 201, 134 |
3, 2 |
∴ So the GCF of the given numbers is 3 x 67 = 201
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 603,402 . The biggest common factor number is the GCF number.
So the greatest common factor 603,402 is 201.
Lets's calculate LCM of 315,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 255465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 201/255465
Therefore, the GCF of Fractions 603/315,402/811 is 201/255465
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 315,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,811) x common factors =1 x 1 = 1
LCM(315,811) = ( 315 × 811 ) / 1
LCM(315,811) = 255465 / 1
LCM(315,811) = 255465
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 603,402?
The HCF of 603,402 is 201
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 603/315, 402/811?
Answer: GCF of Numerators as per given numbers 603/315, 402/811 is
GCF of Numerators i.e. for 603,402 is 201
LCM of denominators i.e. for 315,811 is 255465.
Thus, GCF of Fractions is 201/255465.Finally, GCF of Fractions for 603/315, 402/811 is 201/255465.