Use our free GCF of Fractions Calculator tool to compute the GCF of 611/257, 813/729 i.e 1/187353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/257, 813/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/257,813/729
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 611/257,813/729, numerators are 611,813
Denominators are 257,729
The GCF of 611,813 is 1 .
LCM of 257,729 is 187353.
The greatest common factor of 611/257,813/729 = [GCF of 611,813]/[LCM of 257,729]= 1/187353
Therefore, the GCF of 611/257,813/729 is 1/187353.
To find the highest common factor of 611,813, we have to find the factors of both numbers and list the highest common factor.
The factors of 611 are 1, 13, 47, 611
The factors of 813 are 1, 3, 271, 813
The HCF of 611,813 is 1.
Lets's calculate GCF of 611,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 611
:1,13,47,611
Now, list down the factors of 813
:1,3,271,813
Greatest Common Factor
We found the factors 611,813 . The biggest common factor number is the GCF number.
So the greatest common factor 611,813 is 1.
Lets's calculate LCM of 257,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 187353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187353
Therefore, the GCF of Fractions 611/257,813/729 is 1/187353
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 257,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,729) x common factors =1 x 1 = 1
LCM(257,729) = ( 257 × 729 ) / 1
LCM(257,729) = 187353 / 1
LCM(257,729) = 187353
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 611,813?
The HCF of 611,813 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 611/257, 813/729?
Answer: GCF of Numerators as per given numbers 611/257, 813/729 is
GCF of Numerators i.e. for 611,813 is 1
LCM of denominators i.e. for 257,729 is 187353.
Thus, GCF of Fractions is 1/187353.Finally, GCF of Fractions for 611/257, 813/729 is 1/187353.