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For a positive integer n, n! denotes the product of all integers from 1 to n, inclusive. What is the greatest integer that will divide both 
  • a)
    1
  • b)
    15
  • c)
    30
  • d)
    420
  • e)
    840
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For a positive integer n, n! denotes the product of all integers from ...
Given:
2 numbers : 
To Find: GCD  
 
Approach:
  1. order to find the GCD of the 2 numbers, we first need to find the expressions for each number
  2. So, using the given definition of the factorial (!) function, we will find the expression of each number.
Working out:
Looking at the answer choices, we see that the correct answer is Option C
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For a positive integer n, n! denotes the product of all integers from 1 to n, inclusive. What is the greatest integer that will dividebotha)1b)15c)30d)420e)840Correct answer is option 'C'. Can you explain this answer?
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