Use our free GCF of Fractions Calculator tool to compute the GCF of 587/559, 745/344 i.e 1/4472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/559, 745/344.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/559,745/344
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 587/559,745/344, numerators are 587,745
Denominators are 559,344
The GCF of 587,745 is 1 .
LCM of 559,344 is 4472.
The greatest common factor of 587/559,745/344 = [GCF of 587,745]/[LCM of 559,344]= 1/4472
Therefore, the GCF of 587/559,745/344 is 1/4472.
To find the highest common factor of 587,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 745 are 1, 5, 149, 745
The HCF of 587,745 is 1.
Lets's calculate GCF of 587,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 587
:1,587
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 587,745 . The biggest common factor number is the GCF number.
So the greatest common factor 587,745 is 1.
Lets's calculate LCM of 559,344
43 | 559, 344 |
13, 8 |
∴ So the LCM of the given numbers is 43 x 13 x 8 = 4472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4472
Therefore, the GCF of Fractions 587/559,745/344 is 1/4472
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 559,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,344) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(559,344) x common factors =43 x 1 = 43
LCM(559,344) = ( 559 × 344 ) / 43
LCM(559,344) = 192296 / 43
LCM(559,344) = 4472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 587,745?
The HCF of 587,745 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 587/559, 745/344?
Answer: GCF of Numerators as per given numbers 587/559, 745/344 is
GCF of Numerators i.e. for 587,745 is 1
LCM of denominators i.e. for 559,344 is 4472.
Thus, GCF of Fractions is 1/4472.Finally, GCF of Fractions for 587/559, 745/344 is 1/4472.