Mafi girman mai raba na gama gari da mafi ƙarancin ninki na gama gari

Yadda ake samun kimantawa

GCD ita ce cikakkiyar lamba mafi girma fiye da sifili da take raba lambobin biyu ba tare da saura ba. LCM ita ce cikakkiyar lamba mafi ƙanƙanta da ta fi sifili da take ninkin lambobin biyu. Maimaita rabawa da saura yana gano GCD: biyun (a,b) da biyun (b, sauran rabon a da b) suna da masu raba na gama gari iri ɗaya. Sannan LCM(a,b) = (a ÷ GCD(a,b)) × b. A cikin abubuwan rarrabawa na firam, GCD tana amfani da mafi ƙanƙantar ƙarfin kowane firam, LCM kuma mafi girma; jimillar ƙarfin nan biyu daidai take da ƙarfin a cikin a × b.

9007199254740991 iyakarmu ce ta wakiltar shigarwar cikakkiyar lamba daidai a tsarin lissafin na’ura, ba iyakar lissafi ko ƙimar da ake ba da shawara ba. Tsarin ya karɓi cikakkun lambobi biyu masu girma fiye da sifili kawai; ba sifili, lambobi ƙasa da sifili, lambobi masu ɓangaren kaso, polinomiyal ko lambobi uku da fiye ba. Ba ya nuna jerin masu raba, rarrabawa zuwa lambobin firam, ma’aunan Bézout ko kishiyar modula; ba ya rage kaso ko rabo kuma ba ya tsara jadawali. Ba ya sauya raka’a ko tabbatar da dacewar jiki, lokacin ainihi ko aminci.

Duba misalin da aka cika

Misalin da muka zaɓa: a = 84 da b = 132. Domin 84 = 12 × 7 da 132 = 12 × 11, kuma 7 da 11 ba su da mai raba na gama gari fiye da 1, GCD ita ce 12. LCM ita ce 924: 84 × 11 = 132 × 7 = 924. Lambobin misali ne, ba ƙimomin da ake ba da shawara ba.

Ƙimomin da aka karɓa

Cikakkiyar lamba ta farko mai kyau a

84

Cikakkiyar lamba ta biyu mai kyau b

132

Shirya mataki na gaba

Tabbatar tambayarka tana magana ne kan cikakkun lambobi biyu kawai masu girma fiye da sifili. Yi amfani da kalkuleta ta yau da kullum don lissafi daban.