Use our free GCF of Fractions Calculator tool to compute the GCF of 564/733, 685/353 i.e 1/258749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/733, 685/353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 564/733,685/353
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 564/733,685/353, numerators are 564,685
Denominators are 733,353
The GCF of 564,685 is 1 .
LCM of 733,353 is 258749.
The greatest common factor of 564/733,685/353 = [GCF of 564,685]/[LCM of 733,353]= 1/258749
Therefore, the GCF of 564/733,685/353 is 1/258749.
To find the highest common factor of 564,685, we have to find the factors of both numbers and list the highest common factor.
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 685 are 1, 5, 137, 685
The HCF of 564,685 is 1.
Lets's calculate GCF of 564,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 685
:1,5,137,685
Greatest Common Factor
We found the factors 564,685 . The biggest common factor number is the GCF number.
So the greatest common factor 564,685 is 1.
Lets's calculate LCM of 733,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 258749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258749
Therefore, the GCF of Fractions 564/733,685/353 is 1/258749
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 733,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,353) x common factors =1 x 1 = 1
LCM(733,353) = ( 733 × 353 ) / 1
LCM(733,353) = 258749 / 1
LCM(733,353) = 258749
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 564,685?
The HCF of 564,685 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 564/733, 685/353?
Answer: GCF of Numerators as per given numbers 564/733, 685/353 is
GCF of Numerators i.e. for 564,685 is 1
LCM of denominators i.e. for 733,353 is 258749.
Thus, GCF of Fractions is 1/258749.Finally, GCF of Fractions for 564/733, 685/353 is 1/258749.