Use our free GCF of Fractions Calculator tool to compute the GCF of 9223/392, 8535/4690 i.e 1/131320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9223/392, 8535/4690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9223/392,8535/4690
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 9223/392,8535/4690, numerators are 9223,8535
Denominators are 392,4690
The GCF of 9223,8535 is 1 .
LCM of 392,4690 is 131320.
The greatest common factor of 9223/392,8535/4690 = [GCF of 9223,8535]/[LCM of 392,4690]= 1/131320
Therefore, the GCF of 9223/392,8535/4690 is 1/131320.
To find the highest common factor of 9223,8535, 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 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535
The HCF of 9223,8535 is 1.
Lets's calculate GCF of 9223,8535
∴ 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 8535
:1,3,5,15,569,1707,2845,8535
Greatest Common Factor
We found the factors 9223,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,8535 is 1.
Lets's calculate LCM of 392,4690
2 | 392, 4690 |
7 | 196, 2345 |
28, 335 |
∴ So the LCM of the given numbers is 2 x 7 x 28 x 335 = 131320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131320
Therefore, the GCF of Fractions 9223/392,8535/4690 is 1/131320
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 392,4690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,4690) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(392,4690) x common factors =14 x 1 = 14
LCM(392,4690) = ( 392 × 4690 ) / 14
LCM(392,4690) = 1838480 / 14
LCM(392,4690) = 131320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9223,8535?
The HCF of 9223,8535 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 9223/392, 8535/4690?
Answer: GCF of Numerators as per given numbers 9223/392, 8535/4690 is
GCF of Numerators i.e. for 9223,8535 is 1
LCM of denominators i.e. for 392,4690 is 131320.
Thus, GCF of Fractions is 1/131320.Finally, GCF of Fractions for 9223/392, 8535/4690 is 1/131320.