Use our free GCF of Fractions Calculator tool to compute the GCF of 621/925, 729/515 i.e 27/95275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/925, 729/515.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/925,729/515
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 621/925,729/515, numerators are 621,729
Denominators are 925,515
The GCF of 621,729 is 27 .
LCM of 925,515 is 95275.
The greatest common factor of 621/925,729/515 = [GCF of 621,729]/[LCM of 925,515]= 27/95275
Therefore, the GCF of 621/925,729/515 is 27/95275.
To find the highest common factor of 621,729, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The HCF of 621,729 is 27.
Lets's calculate GCF of 621,729
3 | 621, 729 |
3 | 207, 243 |
3 | 69, 81 |
23, 27 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 729
:1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 621,729 . The biggest common factor number is the GCF number.
So the greatest common factor 621,729 is 27.
Lets's calculate LCM of 925,515
5 | 925, 515 |
185, 103 |
∴ So the LCM of the given numbers is 5 x 185 x 103 = 95275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/95275
Therefore, the GCF of Fractions 621/925,729/515 is 27/95275
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 925,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(925,515) x common factors =5 x 1 = 5
LCM(925,515) = ( 925 × 515 ) / 5
LCM(925,515) = 476375 / 5
LCM(925,515) = 95275
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 621,729?
The HCF of 621,729 is 27
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 621/925, 729/515?
Answer: GCF of Numerators as per given numbers 621/925, 729/515 is
GCF of Numerators i.e. for 621,729 is 27
LCM of denominators i.e. for 925,515 is 95275.
Thus, GCF of Fractions is 27/95275.Finally, GCF of Fractions for 621/925, 729/515 is 27/95275.