Use our free GCF of Fractions Calculator tool to compute the GCF of 567/412, 531/201 i.e 9/82812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/412, 531/201.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/412,531/201
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 567/412,531/201, numerators are 567,531
Denominators are 412,201
The GCF of 567,531 is 9 .
LCM of 412,201 is 82812.
The greatest common factor of 567/412,531/201 = [GCF of 567,531]/[LCM of 412,201]= 9/82812
Therefore, the GCF of 567/412,531/201 is 9/82812.
To find the highest common factor of 567,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 567,531 is 9.
Lets's calculate GCF of 567,531
3 | 567, 531 |
3 | 189, 177 |
63, 59 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 567,531 . The biggest common factor number is the GCF number.
So the greatest common factor 567,531 is 9.
Lets's calculate LCM of 412,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 82812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/82812
Therefore, the GCF of Fractions 567/412,531/201 is 9/82812
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 412,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,201) x common factors =1 x 1 = 1
LCM(412,201) = ( 412 × 201 ) / 1
LCM(412,201) = 82812 / 1
LCM(412,201) = 82812
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 567,531?
The HCF of 567,531 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 567/412, 531/201?
Answer: GCF of Numerators as per given numbers 567/412, 531/201 is
GCF of Numerators i.e. for 567,531 is 9
LCM of denominators i.e. for 412,201 is 82812.
Thus, GCF of Fractions is 9/82812.Finally, GCF of Fractions for 567/412, 531/201 is 9/82812.