Use our free GCF of Fractions Calculator tool to compute the GCF of 1765/367, 5857/9673 i.e 1/3549991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1765/367, 5857/9673.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1765/367,5857/9673
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 1765/367,5857/9673, numerators are 1765,5857
Denominators are 367,9673
The GCF of 1765,5857 is 1 .
LCM of 367,9673 is 3549991.
The greatest common factor of 1765/367,5857/9673 = [GCF of 1765,5857]/[LCM of 367,9673]= 1/3549991
Therefore, the GCF of 1765/367,5857/9673 is 1/3549991.
To find the highest common factor of 1765,5857, we have to find the factors of both numbers and list the highest common factor.
The factors of 1765 are 1, 5, 353, 1765
The factors of 5857 are 1, 5857
The HCF of 1765,5857 is 1.
Lets's calculate GCF of 1765,5857
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1765
:1,5,353,1765
Now, list down the factors of 5857
:1,5857
Greatest Common Factor
We found the factors 1765,5857 . The biggest common factor number is the GCF number.
So the greatest common factor 1765,5857 is 1.
Lets's calculate LCM of 367,9673
Given numbers has no common factors except 1. So, there LCM is their product i.e 3549991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3549991
Therefore, the GCF of Fractions 1765/367,5857/9673 is 1/3549991
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 367,9673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,9673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,9673) x common factors =1 x 1 = 1
LCM(367,9673) = ( 367 × 9673 ) / 1
LCM(367,9673) = 3549991 / 1
LCM(367,9673) = 3549991
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1765,5857?
The HCF of 1765,5857 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 1765/367, 5857/9673?
Answer: GCF of Numerators as per given numbers 1765/367, 5857/9673 is
GCF of Numerators i.e. for 1765,5857 is 1
LCM of denominators i.e. for 367,9673 is 3549991.
Thus, GCF of Fractions is 1/3549991.Finally, GCF of Fractions for 1765/367, 5857/9673 is 1/3549991.