### Problem 2 Find `gcd (31415, 14142)` by applying the Euclid’s algorithm. Please show detailed steps.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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### Problem 2
Find `gcd (31415, 14142)` by applying the Euclid’s
algorithm. Please show detailed steps.
Transcribed Image Text:### Problem 2 Find `gcd (31415, 14142)` by applying the Euclid’s algorithm. Please show detailed steps.
Algorithms in pseudo code ** MUST** be placed in
code blocks/fences, and use `cpp` as the syntax
highlighter.
- Algorithms should follow the pseudo code standard
described in *Pseudocode Handout*.
- Do NOT change the template except the answer
portion.
Formulas and equations should be in math mode
using Latex math symbols.
- Markdown math tutorial:
http://tug.ctan.org/info/undergradmath/undergradmat
h.pdf
- Two ways to enter math mode:
- Insert a pair of dollar signs: \$your
equations go here\$. This is the inline math mode.
*Notice that there is no space between the \$ and
the letter*.
- Insert a pair of double-dollar signs: \$\$
your equations go here \$\$, which produces a
standalone equation/formula set.
le for s
## Problem Set
### Problem 1
Design an algorithm in pseudo code for computing
$\lfloor \sqrt n \rfloor$ for any *positive*
integer $n$. Besides assignment and comparison,
your algorithm may only use the four basic
arithmetical operations, namely:
- addition
subtraction
- multiplication
- division
Transcribed Image Text:Algorithms in pseudo code ** MUST** be placed in code blocks/fences, and use `cpp` as the syntax highlighter. - Algorithms should follow the pseudo code standard described in *Pseudocode Handout*. - Do NOT change the template except the answer portion. Formulas and equations should be in math mode using Latex math symbols. - Markdown math tutorial: http://tug.ctan.org/info/undergradmath/undergradmat h.pdf - Two ways to enter math mode: - Insert a pair of dollar signs: \$your equations go here\$. This is the inline math mode. *Notice that there is no space between the \$ and the letter*. - Insert a pair of double-dollar signs: \$\$ your equations go here \$\$, which produces a standalone equation/formula set. le for s ## Problem Set ### Problem 1 Design an algorithm in pseudo code for computing $\lfloor \sqrt n \rfloor$ for any *positive* integer $n$. Besides assignment and comparison, your algorithm may only use the four basic arithmetical operations, namely: - addition subtraction - multiplication - division
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