Use our free GCF of Fractions Calculator tool to compute the GCF of 705/41, 559/563 i.e 1/23083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/41, 559/563.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 705/41,559/563
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 705/41,559/563, numerators are 705,559
Denominators are 41,563
The GCF of 705,559 is 1 .
LCM of 41,563 is 23083.
The greatest common factor of 705/41,559/563 = [GCF of 705,559]/[LCM of 41,563]= 1/23083
Therefore, the GCF of 705/41,559/563 is 1/23083.
To find the highest common factor of 705,559, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 559 are 1, 13, 43, 559
The HCF of 705,559 is 1.
Lets's calculate GCF of 705,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 559
:1,13,43,559
Greatest Common Factor
We found the factors 705,559 . The biggest common factor number is the GCF number.
So the greatest common factor 705,559 is 1.
Lets's calculate LCM of 41,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 23083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23083
Therefore, the GCF of Fractions 705/41,559/563 is 1/23083
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 41,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,563) x common factors =1 x 1 = 1
LCM(41,563) = ( 41 × 563 ) / 1
LCM(41,563) = 23083 / 1
LCM(41,563) = 23083
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 705,559?
The HCF of 705,559 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 705/41, 559/563?
Answer: GCF of Numerators as per given numbers 705/41, 559/563 is
GCF of Numerators i.e. for 705,559 is 1
LCM of denominators i.e. for 41,563 is 23083.
Thus, GCF of Fractions is 1/23083.Finally, GCF of Fractions for 705/41, 559/563 is 1/23083.