Use our free GCF of Fractions Calculator tool to compute the GCF of 963/201, 531/273 i.e 9/18291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/201, 531/273.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 963/201,531/273
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 963/201,531/273, numerators are 963,531
Denominators are 201,273
The GCF of 963,531 is 9 .
LCM of 201,273 is 18291.
The greatest common factor of 963/201,531/273 = [GCF of 963,531]/[LCM of 201,273]= 9/18291
Therefore, the GCF of 963/201,531/273 is 9/18291.
To find the highest common factor of 963,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 963,531 is 9.
Lets's calculate GCF of 963,531
3 | 963, 531 |
3 | 321, 177 |
107, 59 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 963,531 . The biggest common factor number is the GCF number.
So the greatest common factor 963,531 is 9.
Lets's calculate LCM of 201,273
3 | 201, 273 |
67, 91 |
∴ So the LCM of the given numbers is 3 x 67 x 91 = 18291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/18291
Therefore, the GCF of Fractions 963/201,531/273 is 9/18291
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 201,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,273) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,273) x common factors =3 x 1 = 3
LCM(201,273) = ( 201 × 273 ) / 3
LCM(201,273) = 54873 / 3
LCM(201,273) = 18291
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 963,531?
The HCF of 963,531 is 9
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 963/201, 531/273?
Answer: GCF of Numerators as per given numbers 963/201, 531/273 is
GCF of Numerators i.e. for 963,531 is 9
LCM of denominators i.e. for 201,273 is 18291.
Thus, GCF of Fractions is 9/18291.Finally, GCF of Fractions for 963/201, 531/273 is 9/18291.