How to write a shell script to find the greatest among three numbers ?

#!/bin/bash
#
# Linux Shell Scripting Tutorial 1.05r3, Summer-2002
#
# Written by Vivek G. Gite <vivek@nixcraft.com>
# modified by Jeffrin Jose T. <ahiliation@yahoo.co.in>
# Latest version can be found at http://www.nixcraft.com/
#
# Q2. Script to find out biggest number
#
# Algo:
# 1) START: Take three nos as n1,n2,n3.
# 2) Is n1 is greater than n2 and n3, if yes
# print n1 is bigest no goto step 5, otherwise goto next step
# 3) Is n2 is greater than n1 and n3, if yes
# print n2 is bigest no goto step 5, otherwise goto next step
# 4) Is n3 is greater than n1 and n2, if yes
# print n3 is bigest no goto step 5, otherwise goto next step
# 5) END
#
#

if [ $# -ne 3 ]
then
echo "$0: number1 number2 number3 are not given" >&2
exit 1
fi
n1=$1
n2=$2
n3=$3
if [ $n1 -gt $n2 ] && [ $n1 -gt $n3 ]
then
echo "$n1 is the Biggest number"
elif [ $n2 -gt $n1 ] && [ $n2 -gt $n3 ]
then
echo "$n2 is the Biggest number"
elif [ $n3 -gt $n1 ] && [ $n3 -gt $n2 ]
then
echo "$n3 is the Biggest number"
elif [ $1 -eq $2 ] && [ $1 -eq $3 ] && [ $2 -eq $3 ]
then
echo "All the three numbers are equal"
else
echo "I can not figure out which number is bigger"
fi

#
# ./ch.sh: vivek-tech.com to nixcraft.com referance converted using this tool
# See the tool at http://www.nixcraft.com/uniqlinuxfeatures/tools/
#