Use our free GCF of Fractions Calculator tool to compute the GCF of 727/317, 581/775 i.e 1/245675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/317, 581/775.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 727/317,581/775
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 727/317,581/775, numerators are 727,581
Denominators are 317,775
The GCF of 727,581 is 1 .
LCM of 317,775 is 245675.
The greatest common factor of 727/317,581/775 = [GCF of 727,581]/[LCM of 317,775]= 1/245675
Therefore, the GCF of 727/317,581/775 is 1/245675.
To find the highest common factor of 727,581, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 581 are 1, 7, 83, 581
The HCF of 727,581 is 1.
Lets's calculate GCF of 727,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 727
:1,727
Now, list down the factors of 581
:1,7,83,581
Greatest Common Factor
We found the factors 727,581 . The biggest common factor number is the GCF number.
So the greatest common factor 727,581 is 1.
Lets's calculate LCM of 317,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 245675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245675
Therefore, the GCF of Fractions 727/317,581/775 is 1/245675
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 317,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,775) x common factors =1 x 1 = 1
LCM(317,775) = ( 317 × 775 ) / 1
LCM(317,775) = 245675 / 1
LCM(317,775) = 245675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 727,581?
The HCF of 727,581 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 727/317, 581/775?
Answer: GCF of Numerators as per given numbers 727/317, 581/775 is
GCF of Numerators i.e. for 727,581 is 1
LCM of denominators i.e. for 317,775 is 245675.
Thus, GCF of Fractions is 1/245675.Finally, GCF of Fractions for 727/317, 581/775 is 1/245675.