Matlab Tutorials | Examples

Practice 4:

Pairs that have common divisors

Write a MATLAB program that does the following jobs:

Get two whole numbers (a and b) greater than 1. If any of the numbers do not satisfy the criteria, display a warning message and stop the program.
For all pairs of numbers between [a…b] (both inclusive) find all positive common divisors greater than 1 and display them as in the sample output below.

Solution:

% Start to giving inputs from user
num1 = input('What is the first number: ');
num2 = input('What is the second number: ');
%Checking the number is whole and orders
if (num1 == ceil(num1)) && (num2 == ceil(num2)) && (num1 > 1) && (num2 > 1)
    %If num1 is bigger than num2 swap them for algorithm
    if num1>num2
        temp = num1;
        num1 = num2;
        num2 = temp;
    end
    %CHeck the each numbers between num1 and num2 and checking the
    %divisibity
    for a=num1:num2
        for b=a+1 : num2
            for i=2 : num2
                if(mod(a,i)==0 && mod(b,i) ==0)
                    fprintf('%g and %g are divisible by %g\n',a,b,i)
                end
            end
        end
    end
else
    disp('You must provide whole numbers greater than 1.')
end

% Start to giving inputs from user

num1 = input('What is the first number: ');

num2 = input('What is the second number: ');

%Checking the number is whole and orders

if (num1 == ceil(num1)) && (num2 == ceil(num2)) && (num1 > 1) && (num2 > 1)

%If num1 is bigger than num2 swap them for algorithm

if num1>num2

temp = num1;

num1 = num2;

num2 = temp;

end

%CHeck the each numbers between num1 and num2 and checking the

%divisibity

for a=num1:num2

for b=a+1 : num2

for i=2 : num2

if(mod(a,i)==0 && mod(b,i) ==0)

fprintf('%g and %g are divisible by %g\n',a,b,i)

end

else

disp('You must provide whole numbers greater than 1.')

end

Pairs that have common divisors | Matlab Examples

Matlab Tutorials | Examples

Practice 4:

Pairs that have common divisors

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