Use our free GCF of Fractions Calculator tool to compute the GCF of 903/622, 201/598 i.e 3/185978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/622, 201/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/622,201/598
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 903/622,201/598, numerators are 903,201
Denominators are 622,598
The GCF of 903,201 is 3 .
LCM of 622,598 is 185978.
The greatest common factor of 903/622,201/598 = [GCF of 903,201]/[LCM of 622,598]= 3/185978
Therefore, the GCF of 903/622,201/598 is 3/185978.
To find the highest common factor of 903,201, we have to find the factors of both numbers and list the highest common factor.
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 201 are 1, 3, 67, 201
The HCF of 903,201 is 3.
Lets's calculate GCF of 903,201
3 | 903, 201 |
301, 67 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 201
:1,3,67,201
Greatest Common Factor
We found the factors 903,201 . The biggest common factor number is the GCF number.
So the greatest common factor 903,201 is 3.
Lets's calculate LCM of 622,598
2 | 622, 598 |
311, 299 |
∴ So the LCM of the given numbers is 2 x 311 x 299 = 185978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/185978
Therefore, the GCF of Fractions 903/622,201/598 is 3/185978
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 622,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,598) x common factors =2 x 1 = 2
LCM(622,598) = ( 622 × 598 ) / 2
LCM(622,598) = 371956 / 2
LCM(622,598) = 185978
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 903,201?
The HCF of 903,201 is 3
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 903/622, 201/598?
Answer: GCF of Numerators as per given numbers 903/622, 201/598 is
GCF of Numerators i.e. for 903,201 is 3
LCM of denominators i.e. for 622,598 is 185978.
Thus, GCF of Fractions is 3/185978.Finally, GCF of Fractions for 903/622, 201/598 is 3/185978.