GCF of 9619/404, 9600/3739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9619/404, 9600/3739 i.e 1/1510556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9619/404, 9600/3739.
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 9619/404,9600/3739?
Given fractions are 9619/404,9600/3739
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 9619/404,9600/3739, numerators are 9619,9600
Denominators are 404,3739
The GCF of 9619,9600 is 1 .
LCM of 404,3739 is 1510556.
The greatest common factor of 9619/404,9600/3739 = [GCF of 9619,9600]/[LCM of 404,3739]= 1/1510556
Therefore, the GCF of 9619/404,9600/3739 is 1/1510556.
To find the highest common factor of 9619,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 9619 are 1, 9619
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
The HCF of 9619,9600 is 1.
Lets's calculate GCF of 9619,9600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9619,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 9619
:1,9619
Now, list down the factors of 9600
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 9619,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 9619,9600 is 1.
Lets's calculate LCM of 404,3739
Given numbers has no common factors except 1. So, there LCM is their product i.e 1510556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1510556
Therefore, the GCF of Fractions 9619/404,9600/3739 is 1/1510556
Least Common Multiple of 404,3739 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 404,3739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,3739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,3739) x common factors =1 x 1 = 1
LCM(404,3739) = ( 404 × 3739 ) / 1
LCM(404,3739) = 1510556 / 1
LCM(404,3739) = 1510556
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FAQs on GCF of Fractions of 9619/404, 9600/3739
1. What is the HCF of 9619,9600?
The HCF of 9619,9600 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 9619/404, 9600/3739?
Answer: GCF of Numerators as per given numbers 9619/404, 9600/3739 is
GCF of Numerators i.e. for 9619,9600 is 1
LCM of denominators i.e. for 404,3739 is 1510556.
Thus, GCF of Fractions is 1/1510556.Finally, GCF of Fractions for 9619/404, 9600/3739 is 1/1510556.