Use our free GCF of Fractions Calculator tool to compute the GCF of 575/436, 395/909 i.e 5/396324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/436, 395/909.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/436,395/909
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 575/436,395/909, numerators are 575,395
Denominators are 436,909
The GCF of 575,395 is 5 .
LCM of 436,909 is 396324.
The greatest common factor of 575/436,395/909 = [GCF of 575,395]/[LCM of 436,909]= 5/396324
Therefore, the GCF of 575/436,395/909 is 5/396324.
To find the highest common factor of 575,395, we have to find the factors of both numbers and list the highest common factor.
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 395 are 1, 5, 79, 395
The HCF of 575,395 is 5.
Lets's calculate GCF of 575,395
5 | 575, 395 |
115, 79 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 395
:1,5,79,395
Greatest Common Factor
We found the factors 575,395 . The biggest common factor number is the GCF number.
So the greatest common factor 575,395 is 5.
Lets's calculate LCM of 436,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 396324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/396324
Therefore, the GCF of Fractions 575/436,395/909 is 5/396324
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 436,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,909) x common factors =1 x 1 = 1
LCM(436,909) = ( 436 × 909 ) / 1
LCM(436,909) = 396324 / 1
LCM(436,909) = 396324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 575,395?
The HCF of 575,395 is 5
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 575/436, 395/909?
Answer: GCF of Numerators as per given numbers 575/436, 395/909 is
GCF of Numerators i.e. for 575,395 is 5
LCM of denominators i.e. for 436,909 is 396324.
Thus, GCF of Fractions is 5/396324.Finally, GCF of Fractions for 575/436, 395/909 is 5/396324.