GCF of 9643/415, 9424/6588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9643/415, 9424/6588 i.e 1/2734020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9643/415, 9424/6588.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9643/415,9424/6588?
Given fractions are 9643/415,9424/6588
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 9643/415,9424/6588, numerators are 9643,9424
Denominators are 415,6588
The GCF of 9643,9424 is 1 .
LCM of 415,6588 is 2734020.
The greatest common factor of 9643/415,9424/6588 = [GCF of 9643,9424]/[LCM of 415,6588]= 1/2734020
Therefore, the GCF of 9643/415,9424/6588 is 1/2734020.
To find the highest common factor of 9643,9424, we have to find the factors of both numbers and list the highest common factor.
The factors of 9643 are 1, 9643
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The HCF of 9643,9424 is 1.
Lets's calculate GCF of 9643,9424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9643,9424 By Matching Biggest Common Factor Method
Now, list down the factors of 9643
:1,9643
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Greatest Common Factor
We found the factors 9643,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 9643,9424 is 1.
Lets's calculate LCM of 415,6588
Given numbers has no common factors except 1. So, there LCM is their product i.e 2734020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2734020
Therefore, the GCF of Fractions 9643/415,9424/6588 is 1/2734020
Least Common Multiple of 415,6588 with GCF Formula
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 415,6588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,6588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,6588) x common factors =1 x 1 = 1
LCM(415,6588) = ( 415 × 6588 ) / 1
LCM(415,6588) = 2734020 / 1
LCM(415,6588) = 2734020
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9643/415, 9424/6588
1. What is the HCF of 9643,9424?
The HCF of 9643,9424 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 9643/415, 9424/6588?
Answer: GCF of Numerators as per given numbers 9643/415, 9424/6588 is
GCF of Numerators i.e. for 9643,9424 is 1
LCM of denominators i.e. for 415,6588 is 2734020.
Thus, GCF of Fractions is 1/2734020.Finally, GCF of Fractions for 9643/415, 9424/6588 is 1/2734020.