Greatest Common Divisor Two integers A and B have the greatest common divisor which is the largest positive integer that divides A and B, evenly, without a remainder. One way to find the Greatest Common Divisor is to consider the prime factors for A = 372 and B = 84 as shown below. 372 223 * 31 84 = 2²*3*7 GCD (372,84) = = 2² 3= 12 In a well-documented Python program, hmwk3Q3.py, query the user for two integers. Use a while-loop to find the remainder R when dividing A by B.Replace the value of A with the value of B and replace the value of B with the value of R.Continue this process within the while-loop until the value of B is zero. At that time the value of A will be the GCD. In a comment, provide the response to your program when A= 98,025,733,547 and B= 2,345,109,894,323.
Greatest Common Divisor Two integers A and B have the greatest common divisor which is the largest positive integer that divides A and B, evenly, without a remainder. One way to find the Greatest Common Divisor is to consider the prime factors for A = 372 and B = 84 as shown below. 372 223 * 31 84 = 2²*3*7 GCD (372,84) = = 2² 3= 12 In a well-documented Python program, hmwk3Q3.py, query the user for two integers. Use a while-loop to find the remainder R when dividing A by B.Replace the value of A with the value of B and replace the value of B with the value of R.Continue this process within the while-loop until the value of B is zero. At that time the value of A will be the GCD. In a comment, provide the response to your program when A= 98,025,733,547 and B= 2,345,109,894,323.
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Transcribed Image Text:Greatest Common Divisor
Two integers A and B have the greatest common divisor which is the largest positive integer that divides A and B,
evenly, without a remainder. One way to find the Greatest Common Divisor is to consider the prime factors for A = 372
and B = 84 as shown below.
372 223 * 31
84 22*3*7
GCD (372,84) = 2²*3= 12
In a well-documented Python program, hmwk3Q3.py, query the user for two integers. Use a while-loop to find the
remainder R when dividing A by B.Replace the value of A with the value of B and replace the value of B with the value
of R.Continue this process within the while-loop until the value of B is zero. At that time the value of A will be the
GCD. In a comment, provide the response to your program when A= 98,025,733,547 and B = 2,345,109,894,323.
Expert Solution
Step 1
while loop is used repeat a group of statements again and again till the condition is not satisfied. Python also supports a while loop for repeating a group of statements again and again.
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