Use our free GCF of Fractions Calculator tool to compute the GCF of 568/839, 561/432 i.e 1/362448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/839, 561/432.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/839,561/432
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 568/839,561/432, numerators are 568,561
Denominators are 839,432
The GCF of 568,561 is 1 .
LCM of 839,432 is 362448.
The greatest common factor of 568/839,561/432 = [GCF of 568,561]/[LCM of 839,432]= 1/362448
Therefore, the GCF of 568/839,561/432 is 1/362448.
To find the highest common factor of 568,561, we have to find the factors of both numbers and list the highest common factor.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561
The HCF of 568,561 is 1.
Lets's calculate GCF of 568,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 561
:1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 568,561 . The biggest common factor number is the GCF number.
So the greatest common factor 568,561 is 1.
Lets's calculate LCM of 839,432
Given numbers has no common factors except 1. So, there LCM is their product i.e 362448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362448
Therefore, the GCF of Fractions 568/839,561/432 is 1/362448
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 839,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,432) x common factors =1 x 1 = 1
LCM(839,432) = ( 839 × 432 ) / 1
LCM(839,432) = 362448 / 1
LCM(839,432) = 362448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 568,561?
The HCF of 568,561 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 568/839, 561/432?
Answer: GCF of Numerators as per given numbers 568/839, 561/432 is
GCF of Numerators i.e. for 568,561 is 1
LCM of denominators i.e. for 839,432 is 362448.
Thus, GCF of Fractions is 1/362448.Finally, GCF of Fractions for 568/839, 561/432 is 1/362448.