Use our free GCF of Fractions Calculator tool to compute the GCF of 724/819, 2321/1145 i.e 1/937755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/819, 2321/1145.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 724/819,2321/1145
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 724/819,2321/1145, numerators are 724,2321
Denominators are 819,1145
The GCF of 724,2321 is 1 .
LCM of 819,1145 is 937755.
The greatest common factor of 724/819,2321/1145 = [GCF of 724,2321]/[LCM of 819,1145]= 1/937755
Therefore, the GCF of 724/819,2321/1145 is 1/937755.
To find the highest common factor of 724,2321, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 2321 are 1, 11, 211, 2321
The HCF of 724,2321 is 1.
Lets's calculate GCF of 724,2321
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 2321
:1,11,211,2321
Greatest Common Factor
We found the factors 724,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 724,2321 is 1.
Lets's calculate LCM of 819,1145
Given numbers has no common factors except 1. So, there LCM is their product i.e 937755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/937755
Therefore, the GCF of Fractions 724/819,2321/1145 is 1/937755
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 819,1145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,1145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,1145) x common factors =1 x 1 = 1
LCM(819,1145) = ( 819 × 1145 ) / 1
LCM(819,1145) = 937755 / 1
LCM(819,1145) = 937755
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 724,2321?
The HCF of 724,2321 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 724/819, 2321/1145?
Answer: GCF of Numerators as per given numbers 724/819, 2321/1145 is
GCF of Numerators i.e. for 724,2321 is 1
LCM of denominators i.e. for 819,1145 is 937755.
Thus, GCF of Fractions is 1/937755.Finally, GCF of Fractions for 724/819, 2321/1145 is 1/937755.