Use our free GCF of Fractions Calculator tool to compute the GCF of 223/436, 9415/6508 i.e 1/709372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/436, 9415/6508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 223/436,9415/6508
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 223/436,9415/6508, numerators are 223,9415
Denominators are 436,6508
The GCF of 223,9415 is 1 .
LCM of 436,6508 is 709372.
The greatest common factor of 223/436,9415/6508 = [GCF of 223,9415]/[LCM of 436,6508]= 1/709372
Therefore, the GCF of 223/436,9415/6508 is 1/709372.
To find the highest common factor of 223,9415, we have to find the factors of both numbers and list the highest common factor.
The factors of 223 are 1, 223
The factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415
The HCF of 223,9415 is 1.
Lets's calculate GCF of 223,9415
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 223
:1,223
Now, list down the factors of 9415
:1,5,7,35,269,1345,1883,9415
Greatest Common Factor
We found the factors 223,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 223,9415 is 1.
Lets's calculate LCM of 436,6508
2 | 436, 6508 |
2 | 218, 3254 |
109, 1627 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 1627 = 709372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709372
Therefore, the GCF of Fractions 223/436,9415/6508 is 1/709372
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 436,6508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,6508) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,6508) x common factors =4 x 1 = 4
LCM(436,6508) = ( 436 × 6508 ) / 4
LCM(436,6508) = 2837488 / 4
LCM(436,6508) = 709372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 223,9415?
The HCF of 223,9415 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 223/436, 9415/6508?
Answer: GCF of Numerators as per given numbers 223/436, 9415/6508 is
GCF of Numerators i.e. for 223,9415 is 1
LCM of denominators i.e. for 436,6508 is 709372.
Thus, GCF of Fractions is 1/709372.Finally, GCF of Fractions for 223/436, 9415/6508 is 1/709372.