Use our free GCF of Fractions Calculator tool to compute the GCF of 623/181, 515/469 i.e 1/84889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/181, 515/469.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/181,515/469
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 623/181,515/469, numerators are 623,515
Denominators are 181,469
The GCF of 623,515 is 1 .
LCM of 181,469 is 84889.
The greatest common factor of 623/181,515/469 = [GCF of 623,515]/[LCM of 181,469]= 1/84889
Therefore, the GCF of 623/181,515/469 is 1/84889.
To find the highest common factor of 623,515, we have to find the factors of both numbers and list the highest common factor.
The factors of 623 are 1, 7, 89, 623
The factors of 515 are 1, 5, 103, 515
The HCF of 623,515 is 1.
Lets's calculate GCF of 623,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 623
:1,7,89,623
Now, list down the factors of 515
:1,5,103,515
Greatest Common Factor
We found the factors 623,515 . The biggest common factor number is the GCF number.
So the greatest common factor 623,515 is 1.
Lets's calculate LCM of 181,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 84889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84889
Therefore, the GCF of Fractions 623/181,515/469 is 1/84889
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 181,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,469) x common factors =1 x 1 = 1
LCM(181,469) = ( 181 × 469 ) / 1
LCM(181,469) = 84889 / 1
LCM(181,469) = 84889
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 623,515?
The HCF of 623,515 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 623/181, 515/469?
Answer: GCF of Numerators as per given numbers 623/181, 515/469 is
GCF of Numerators i.e. for 623,515 is 1
LCM of denominators i.e. for 181,469 is 84889.
Thus, GCF of Fractions is 1/84889.Finally, GCF of Fractions for 623/181, 515/469 is 1/84889.