I want to create table like this in Latex.

This is my script for create table.

begintable
centering
captionTable
begintabularc hline
multirow3*DEF&multicolumn3 ABC \ hline
A&B&C\ hline
1& 4 & 7 \ hline
2& 5 & 8 \ hline
3& 6 & 9 \ hline
endtabular
endtable

When I run this script it show error like this.

! Extra alignment tab has been changed to cr.<template> endtemplate ...row3DEF&multicolumn3 ABC

How to create table like this picture?

You can decipher the following template.

documentclass[preview,border=12pt,12pt]standalone
usepackagearray,multirow

letmc=multicolumn
letmr=multirow
letcl=cline

begindocument
begintabular*6l
cl3-6
mc2mr2*empty & mc4Primes \cl3-6
mc2 & 2 & 3 & 5 & 7 \cl1-6
mr2*Powers & 504 & 3 & 2 & 0 & 1 \cl2-6
 & 540 & 2 & 3 & 1 & 0 \cl1-6
mr2*Powers & HCF & 2 & 2 & 0 & 0 & min \cl2-6
 & LCM & 3 & 3 & 1 & 1 & max \cl1-6
endtabular
enddocument

Warning

mr can be nested in mc but the reverse is not possible!

References

My code above was inspired by an example from Wikipedia as follows.

begintabularc
cline3-6
& & multicolumn4 cPrimes \ cline3-6
& & 2 & 3 & 5 & 7 \ cline1-6
multicolumn1 multirow2*Powers &
multicolumn1c504 & 3 & 2 & 0 & 1 & \ cline2-6
multicolumn1 &
multicolumn1c540 & 2 & 3 & 1 & 0 & \ cline1-6
multicolumn1 multirow2*Powers &
multicolumn1cgcd & 2 & 2 & 0 & 0 & min \ cline2-6
multicolumn1 &
multicolumn1clcm & 3 & 3 & 1 & 1 & max \ cline1-6
endtabular

However, as you can see and compare, my code is much much simpler and well refactored yet still readable, right?

What you try to do can be done with this:

documentclassstandalone
usepackagemultirow
begindocument
begintabularc hline
& & multicolumn3 ABC \ hline
& & A&B&C\ hline
multirow3*DEF & D &1& 4 & 7 \ cline2-5
&E& 2& 5 & 8 \ cline2-5
&F& 3& 6 & 9 \ cline2-5
endtabular
enddocument

But! LaTeX can make tables that are much nicer that this Excel-style layout. Consider doing something like this, which still nice to look at if you have more than 3 columns.

documentclassstandalone
usepackagemultirow
usepackagebooktabs
begindocument
begintabularlcccccc 
toprule
& multicolumn3c ABC & multicolumn3c ABC \cmidrule(lr)2-4 cmidrule(lr)5-7
& A&B&C & A2&B2&C2\ midrule
DEF:\
;D &1& 4 & 7 &1& 4 & 7 \ 
;E& 2& 5 & 8 &1& 4 & 7 \ 
;F& 3& 6 & 9 &1& 4 & 7 \ 
XYZ:\
;X &1& 4 & 7 &1& 4 & 7 \ 
;Y& 2& 5 & 8 &1& 4 & 7 \ 
;Z& 3& 6 & 9 &1& 4 & 7 \ bottomrule
endtabular
enddocument

multirow command, needs to be act on its own column...
So you need to add an extra column on the left side in each column and thus an extra & needed on each left side of every row of your table and an extra columntype (lets say c) at the beginning of your tabular's arguments.

Also, multicolumn in your example will should be 3 rows tall and should start from the row (1,4,7). But then an hline on one of this or the next rows, would add a line in the "multirowed" cell too, and this is not wanted. So, we have to change some hlines with cline2-4 that is a line from column 2 to column 4 and not from 1st to last.

Finally, you can add empty multicolumn1 as first element of your first two rows, in order to change their behavior from |c| to c| and remove this way the unwanted vertical line from their left side:

documentclassarticle
usepackagemultirow
begindocument
begintable
centering
captionTable
begintabularl cline2-4
multicolumn1&multicolumn3 ABC \ cline2-4
multicolumn1&A&B&C\ hline
multirow3*DEF&1& 4 & 7 \ cline2-4
&2& 5 & 8 \ cline2-4
&3& 6 & 9 \ hline
endtabular
endtable
 enddocument

PS: Tried to show you what was your mistakes and not to find a way to show your table more beautiful.