>BMDINHQN F>I
3`Zpaj 7eXDhob – GhobjobnloeX JGK
rèZrf 7eoajnkbh – JoaholnhX Grepljrfoln JGK
hrerf ;enbpcph – JoaholnhX Grepljrfoln JGK
hpjlreNZrf JohYoV – JoaholnhX Grepljrfoln JGK
`henaj .kYnhj
.fnkrf .fnk
Jobrej KnVcrkpj
>PIQKQ1NF;Q6 FPDNK F>I
7Zhncrfn /nYcnhn
#`jnko 7ecn
oanjrf &nhlp^k
GoLoSrkrf 7knlrepV
rapLj hpbpVj
3rbprkrf /cplhpV
`henaj .kYnhj
3`Zpaj 7eXDhob
nfnhj .fnhj
3]Okparf ?parenV
nefpkXL 7Vknhj
Jobrej KnVcrkpj
rèZrf 7eoajnkbh
hrerf ;enbpcph
/nàLpj ;neoklpk
hpjlreNZrf JohYoV
.fnkrf .fnk
;MHPIQKQ1NF;P2P FPDNKM F>I
ànlpk =eoY
Jn^Srfn 5nlX^kn
Jlhn\bpkXL nlpj
BNDQ=QPHHM9 ;P@QFFQ9 F>I
Kn\nhofn ?nlneX^
&pjkpa 7kbhoV
Grloh^Lpkn 7Vkn
obrlrf ;palrh
Cbrhrf hpV
XII G62 GCD 101
XI FSC?
FR8TNDTFPT6SF>R= @NHPTT DNPLTT
/2009/
RP6 PJ4= ?R>DN?
@%0 #+: : @3#:.:+-33 -3 +.0
F3 :0#:-.:+-3 0%.:: D0. ::
I -+ 0%.::
2n]aj`Pl] – _dk`fk`jhkaQ GCD -.1\Vl]f
24 n]hZVdZ 2009 Wn`j
2ndnWlk hnbjdlEl `kakWjhY l Wnfhl f#kX`j!
GkWn`gZ Cdjbakglk l CnalhlPkf]lT fnbkh GnIljalfhlPkf]nT
_jdhll Djhbll nhPlhYbjJhfZ _kdk` _jdhlkT n _dn`kajggnT _nfak
I f#kX`j djVnhk.
2jbjZ nIkg]\ `nfhlWg\hn^\ l gk f`kajggn^\, `kakWjhY f#kX`j
_n^nW\h gj^khlhQ gk hnaQ]n gjlVnakk bjKgYk Ikal l Xj`jPl gj V\-
`\Ekk, gn l bf]dYhQ _dlPlgY gk`ndjVnhn].
G lf]dkggkT dj`nfhQJ OnP\ kE> djX _dlbkhfhbnbjhQ \Pjfhb\J-
ElO b djVnhk gjHkWn f#kX`j hnbjdlEkT lX Vdjhf]lO _jdhlT kaQWll,
dkIll, DlhbY, 1nffll, kOll, bkIll. G_jflVn bj^, hnbjdlEl, Xj
_n``kdK]\ l fnbkh, Xj Vkf]ndYfhg\J lghkdgjIlngjaQg\J `d\KV\, Xj
fnb^kfhg\J VndQV\ b lghkdkfjO Pkanbk]j hd\`j, b lghkdkfjO dj-
VnPkWn ]ajffj.
8 djVnhk gj` bY_nagkglk^ dkHkglT I f#kX`j GCD
1jX\^kkhfZ, bfZ djVnhj lXVdjggYO I f#kX`n^ d\]nbn`ZElO nd-
Wjgnb _jdhll VYaj gj_djbakgj gj ndWjglXjIlJ bY_nagkglZ kWn dk-
HkglT.
GdjX\ _nfak f#kX`j Cdjbakglk djXdjVnhjan l \hbkd`lan _ajg
^kdn_dlZhlT _n bY_nagkglJ dkHkglT l gjXgjPlan nhbkhfhbkggYO.
102 GCD: +G(81+ B 28.*64(-
Cajg fnfhnZa lX hd>O djX`kanb:
1. Cdn`naKkglk l fnbkdHkgfhbnbjglk \Kk hdj`lIlnggYO àZ
GCD ;nd^ djVnhY;
2. 8dWjglXjIlnggnk \]dk_akglk _jdhll l \flakglk k> balZglZ
b ^jffjO;
3. Cn`Wnhnb]j l \Pjfhlk b bYVndjO ^kfhgnWn fj^n\_djbakglZ
Djhbll l b bYVndjÒk_\hjhnb 6bdn_kTf]nWn _jdaj^kghj.
*nKgn f \bkdkggnfhQJ \hbkdK`jhQ, Phn hdj`lIlnggYk ^jffnbn-
_nalhlPkf]lk ^kdn_dlZhlZ _dnHal b nhP>hgn^ _kdln`k \f_kHgn.
Gj^Y^ ]d\_gY^ fnVYhlk^ b @hnT nVajfhl ZbaZkhfZ _n`Wnhnb]j
l _dnbk`kglk kKkWn`gnT bfhdkPl bkhkdjgnb Bkal]nT 8hkPkfhbkggnT
bnTgY gj .\dWjgk 2d\KVY. B lJak @hnWn Wn`j bfhdkPj VYaj gjlVn-
akk ^jffnbnT Xj bfk _nfak bYOn`j Djhbll lX fnfhjbj GGG1 Wn`Y.
8gj l^kaj fkdQ>Xg\J _nalhlPkf]\J gjWd\X]\. Bn bfhdkPk b_kdbYk
\Pjfhbnbja _dk`fhjblhkaQ CnfnaQfhbj 1nffll b Djhbll, `jbHlT _n-
anKlhkaQg\J nIkg]\ ^kdn_dlZhlZ^ bfhdkPl l _n`Pkd]g\bHlT k>
gkfn^gkggnk XgjPkglk b _dn_jWjg`k _djb`lbnT lfhndll Bkal]nT
8hkPkfhbkggnT bnTgY, bnf_lhjgll ^nan`>Kl b `\Ok _dnakhjdf]nWn
_jhdlnhlX^j l `d\KVY gjdn`nb, gkgjblfhl ] ;jHlX^\ l gjIlX^\.
4j`n nh^khlhQ l hn, Phn b ^kdn_dlZhlZO Vnakk j]hlbgn \Pjfhbnbjal
_dk`fhjblhkal ^kfhgYO fj^n\_djbakglT.
B djVnhk _n _n`Wnhnb]k bfhdkPl gj .\dWjgk 2d\KVY l ^lhlgWnb
gj _\hl ] gk^\ OndnHn _dnZblal fkVZ _kdblPgYk ndWjglXjIll GCD:
D\`Xkgf]jZ (fk]dkhjdQ hnb. n]lH .), la\_f]jZ (fk]dkhjdQ hnb. *j-
hJHkgn] B.), 1kXk]gkgf]jZ (fk]dkhjdQ hnb. -Vdj^nbj 2.), .djfajb-
f]jZ (fk]dkhjdQ hnb. BjflaQkb +.), .\àlWf]jZ (fk]dkhjdQ hnb. G]\`k
-.), 6]jV_laff]jZ (fk]dkhjdQ hnb. algnb -.).
8VEkk d\]nbn`fhbn _n`Wnhnb]nT l _dnbk`kglk^ bfhdkP Cdjbak-
glk GCD _nd\Plan fk]dkhjdJ Cnalhfnbkhj hnb. dlfhnaJVnb\ G., f
Pk^ ng, _n nIkg]k CdjbakglZ, f_djblafZ OndnHn. *gnWn fla b _n`-
Wnhnb]\ l ndWjglXjIlJ bfhdkP banKlal PakgY CdjbakglZ GCD hnb.
Gk`naf D. l \daj]f +.
. bfhdkPk gj .\dWjgk VYaj lX`jgj ]glWj nV lfhndll fnX`jglZ
.\dWjgj l _dnbk`kglZ bfhdkP gj g>^. .glWj VYaj _n`Wnhnbakgj dk`-
]naakWlkT, ]nhnd\J bnXWajbla _dk`fk`jhkaQ GnIljalfhlPkf]nT _jd-
hll Djhbll. *jhkdlja fnVldjal l nVnVEjal hnb. *jPf 8. (n`lg lX
\Pdk`lhkakT GCD) l hnb. *lhlg ., ]n^_QJhkdgYT gjVnd VYa f`k-
ajg hnb. -VkahlgkT 4.
4k ^kgkk \f_kHgY^l f _nalhlPkf]nT hnP]l XdkglZ ZbaZJhfZ
kKkWn`gYk _nkX`]l Pakgnb CdjbakglZ GnIljalfhlPkf]nT _jdhll
XII G62 GCD 103
Djhbll b -\`dlgl, W`k gj ^kfhk djffhdkaj KlhkakT l fnKK>ggnT
;jHlfhj^l `kdkbgl bnXbYHjkhfZ _j^Zhgl] Kkdhbj^ ;jHlfhf]nWn
hkddndj l Vjg`lhlX^j ^kfhgYO gjIlngjalfhnb.
BnXanKkglk Ibkhnb ] _j^Zhgl]\ b -\`dlgl l gj ^kfhk djffhdkaj
gjIlfhj^l `khkT, KkgElg l fhjdl]nb b -gP\_jgf]n^ akf\, ^lhlgW gj
jXjdgnT _anEj`l b 1kXk]gk gj ^kfhk djffhdkaj j\`dlgQf]lO ^\K-
Plg l 13-akhgkWn _lngkdj lX Wn`j b Wn` _dlbak]jkh bf> VnaQHk l
VnaQHk aJ`kT. 4jHj _jdhlZ n]jXjaj ^jhkdljaQg\J _n^nEQ -\`-
dlgQf]nT fdk`gkT H]nak àZ nVgnbakglZ l djfHldkglZ ^\XkTgnT