GCF of 5721/351, 9600/8445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5721/351, 9600/8445 i.e 3/988065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5721/351, 9600/8445.
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 5721/351,9600/8445?
Given fractions are 5721/351,9600/8445
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 5721/351,9600/8445, numerators are 5721,9600
Denominators are 351,8445
The GCF of 5721,9600 is 3 .
LCM of 351,8445 is 988065.
The greatest common factor of 5721/351,9600/8445 = [GCF of 5721,9600]/[LCM of 351,8445]= 3/988065
Therefore, the GCF of 5721/351,9600/8445 is 3/988065.
To find the highest common factor of 5721,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5721 are 1, 3, 1907, 5721
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 5721,9600 is 3.
Lets's calculate GCF of 5721,9600
| 3 | 5721, 9600 |
| 1907, 3200 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5721,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 5721
:1,3,1907,5721
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 5721,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 5721,9600 is 3.
Lets's calculate LCM of 351,8445
| 3 | 351, 8445 |
| 117, 2815 |
∴ So the LCM of the given numbers is 3 x 117 x 2815 = 988065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/988065
Therefore, the GCF of Fractions 5721/351,9600/8445 is 3/988065
Least Common Multiple of 351,8445 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 351,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,8445) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,8445) x common factors =3 x 1 = 3
LCM(351,8445) = ( 351 × 8445 ) / 3
LCM(351,8445) = 2964195 / 3
LCM(351,8445) = 988065
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5721/351, 9600/8445
1. What is the HCF of 5721,9600?
The HCF of 5721,9600 is 3
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 5721/351, 9600/8445?
Answer: GCF of Numerators as per given numbers 5721/351, 9600/8445 is
GCF of Numerators i.e. for 5721,9600 is 3
LCM of denominators i.e. for 351,8445 is 988065.
Thus, GCF of Fractions is 3/988065.Finally, GCF of Fractions for 5721/351, 9600/8445 is 3/988065.