Qaybshe iyo dhufsanayaasha

"Lambarada Multiple" topic bartay fasalka 5aad ee dugsiga sare. Its Hadafkayagu waa in la hagaajiyo xirfadaha afka iyo qoraalka ah ee xisaabta. Casharka Tani barayaa fikradaha cusub - ka "dhufsanayaasha" iyo "splitters", waa buuxsamay farsamo ee helidda qaybshe iyo dhufsanayaasha tirada dabiici ah, awood u leh inay ka heli NOC ee siyaabo kala duwan.

Mowduucani waa mid aad u muhiim ah. Aqoonta waxaa ka mid ah waxaa lagu saleyn karaa xallinta tusaalooyin la jajab. Si arrintan loo sameeyo, waxaad u baahan tahay si aad u hesho hooseeyaha caadi ah by xisaabinta kala duwan ee yaraan caadi ah (LCM).

xeradan A waxaa loo arkaa abyoonaha ah in waxa loo qeybin karaa iyada oo aan wax raad ah.

18: 2 = 9

abyoonaha kasta oo wanaagsan waxay leedahay tiro dhufsanayaasha Rowan badan. Waxaa loo arkaa laftiisa in ay noqon yar. Isku laab ma noqon karaan wax ka yar tirada laftiisa.

hawsha

Waxaan leenahay si ay u caddeeyaan in tirada 125 waa badan ka mid ah tirada 5. Si arrintan loo sameeyo, kala qaybin tirada ugu horeysay on labaad. Haddii 125 waa loo qeybin karaa 5 iyada oo aan wax raad ah, ka dibna jawaabtu waa haa.

All tirooyinka caadiga ah waxa loo qaybin karaa: 1. kala Multiple nafsaddiisa u bixinayo.

Sida aan ognahay, tirada fission waxaa la yiraahdaa "saamiga", "qaybiye", "gaarka ah".

27: 9 = 3,

halkaas oo 27 - saamiga, 9 - qaybiye 3 - qeybtu.

Dhufsanayaasha of 2, - kuwa marka loo qaybiyay laba ma sameeyaan hadhay a. Waxay dhan xataa waa.

Dhufsanayaasha of 3 - waa sida in harta ma kala qaybsan yihiin saddex (3, 6, 9, 12, 15 ...).

Tusaale ahaan, 72. Tirada Tani waa badan 3, sababtoo ah waa loo qeybin karaa 3 oo aan ka dhiman (sida la og yahay, tirada waa loo qeybin karaa 3 oo aan dhiman, haddii wadarta lambar ay waa loo qeybin karaa 3)

wadarta 7 + 2 = 9; 9: 3 = 3.

Tirada 11, badan ka mid ah 4-aad?

11: 4 = 2 (hadhay 3)

Jawaab: ma aha, sida jiro dheeli.

badan Common laba ama in ka badan abyoonayaasha - waa, kaas oo la qaybiyey tirada hadhay ma.

K (8) = 8, 16, 24 ...

K (6) = 6, 12, 18, 24 ...

K (6.8) = 24

LCM (ugu yaraan caadi duwan) waa sida soo socota.

Waayo, tiro kasta oo lagama maarmaan ah in si gaar ah u qori galay dhufsanayaasha xarig ah - ilaa la mid ah loo helo.

NOC (5, 6) = 30.

Habkani waa mid ku habboon in tiro yar.

Marka la xisaabinayo NOC ah ka hor tagaan xaalado gaar ah.

1. Haddii aad u baahan tahay si aad u hesho badan caadiga ah ee 2 lambarada (tusaale ahaan, 80 iyo 20), halkaas oo mid ka mid ah (80) waa loo qeybin kale (20), ka dibna lambarka this (80) iyo waa badan yar oo ka mid ah laba tiro.

NOC (80, 20) = 80.

2. Haddii labada lambar lahayn qaybiye u dhexeeya, waxaan dhihi karaa in ay GOS - waa wax soo saarka ee labadan lambar.

NOC (6, 7) = 42.

Ka fiirso tusaale ahaan la soo dhaafay. 6 iyo 7 marka la eego 42 waa qaybshe. Waxay wadaagaan badan ah oo ka hadhay ma.

42: 7 = 6

42: 6 = 7

Tusaalahaan, 6 iyo 7 waxa lagu lamaaneeyey qaybshe. Ay wax soo saarka waa loo siman yahay si ay u badan oo ah (42).

6x7 = 42

Tirada waxaa la odhan jiray Ra'iisul haddii ama 1 (3: 1 = 3 3 3 = 1) waa loo qeybin karaa oo keliya keligeed. kuwo kale waxaa loo yaqaan farcan.

In tusaale kale, baahida loo qabo in la ogaado in qaybiye 9 marka la eego 42.

42: 9 = 4 (hadhay 6)

Jawaab: 9 ma aha qaybshe a of 42 maxaa yeelay, waxaa jira miisaan jawaabta.

qaybiye wuxuu ka yimid xagga jeer in qaybiye kala duwan - this tirada by kuwaas oo kala qaybi tirada dabiiciga ah, iyo laftiisa laab waxa loo qaybinayaa tirada this waa.

qaybshe ugu weyn ee caadi u ah a tiro iyo b, by xeradooduna yar bateen, isu siiyo wax soo saarka ee ah tirada iyo b.

Kuwaas oo: gcd (a, b) LCM x (a, b) = x a b.

dhufsanayaasha Common lambarada adag oo dheeraad ah waa sida soo socota.

Tusaale ahaan, si aad u hesho NOC ee 168, 180, 3024.

Tiradaas waxaa lagu giirte galay arrimo ra'iisul, sida ku qoran sheyga awoodaha:

168 = 2³h3¹h7¹

= 180 2²h3²h5¹

3024 = 2⁴h3³h7¹

Markaas qor dhan degrees salka la waxqabadka ugu weyn oo iyaga waan tarmin doonaa,

2⁴h3³h5¹h7¹ = 15120

NOC (168, 180, 3024) = 15120.