Use our free GCF of Fractions Calculator tool to compute the GCF of 562/561, 728/575 i.e 2/322575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 562/561, 728/575.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 562/561,728/575
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 562/561,728/575, numerators are 562,728
Denominators are 561,575
The GCF of 562,728 is 2 .
LCM of 561,575 is 322575.
The greatest common factor of 562/561,728/575 = [GCF of 562,728]/[LCM of 561,575]= 2/322575
Therefore, the GCF of 562/561,728/575 is 2/322575.
To find the highest common factor of 562,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 562 are 1, 2, 281, 562
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 562,728 is 2.
Lets's calculate GCF of 562,728
2 | 562, 728 |
281, 364 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 562,728 . The biggest common factor number is the GCF number.
So the greatest common factor 562,728 is 2.
Lets's calculate LCM of 561,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 322575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/322575
Therefore, the GCF of Fractions 562/561,728/575 is 2/322575
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 561,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,575) x common factors =1 x 1 = 1
LCM(561,575) = ( 561 × 575 ) / 1
LCM(561,575) = 322575 / 1
LCM(561,575) = 322575
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 562,728?
The HCF of 562,728 is 2
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 562/561, 728/575?
Answer: GCF of Numerators as per given numbers 562/561, 728/575 is
GCF of Numerators i.e. for 562,728 is 2
LCM of denominators i.e. for 561,575 is 322575.
Thus, GCF of Fractions is 2/322575.Finally, GCF of Fractions for 562/561, 728/575 is 2/322575.