Use our free GCF of Fractions Calculator tool to compute the GCF of 9223/409, 8885/8365 i.e 1/3421285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9223/409, 8885/8365.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9223/409,8885/8365
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 9223/409,8885/8365, numerators are 9223,8885
Denominators are 409,8365
The GCF of 9223,8885 is 1 .
LCM of 409,8365 is 3421285.
The greatest common factor of 9223/409,8885/8365 = [GCF of 9223,8885]/[LCM of 409,8365]= 1/3421285
Therefore, the GCF of 9223/409,8885/8365 is 1/3421285.
To find the highest common factor of 9223,8885, we have to find the factors of both numbers and list the highest common factor.
The factors of 9223 are 1, 23, 401, 9223
The factors of 8885 are 1, 5, 1777, 8885
The HCF of 9223,8885 is 1.
Lets's calculate GCF of 9223,8885
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9223
:1,23,401,9223
Now, list down the factors of 8885
:1,5,1777,8885
Greatest Common Factor
We found the factors 9223,8885 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,8885 is 1.
Lets's calculate LCM of 409,8365
Given numbers has no common factors except 1. So, there LCM is their product i.e 3421285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3421285
Therefore, the GCF of Fractions 9223/409,8885/8365 is 1/3421285
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 409,8365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8365) x common factors =1 x 1 = 1
LCM(409,8365) = ( 409 × 8365 ) / 1
LCM(409,8365) = 3421285 / 1
LCM(409,8365) = 3421285
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9223,8885?
The HCF of 9223,8885 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 9223/409, 8885/8365?
Answer: GCF of Numerators as per given numbers 9223/409, 8885/8365 is
GCF of Numerators i.e. for 9223,8885 is 1
LCM of denominators i.e. for 409,8365 is 3421285.
Thus, GCF of Fractions is 1/3421285.Finally, GCF of Fractions for 9223/409, 8885/8365 is 1/3421285.