Kalkaaliyihii GCD iyo LCM
Hesho ugu weyn qaybiyaha guud iyo ugu yaraan guud oo ku celcelis ah liiska lambarada.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
This calculator finds the greatest common divisor (GCD) — the largest number that divides all your values evenly — and the least common multiple (LCM), the smallest number they all divide into. Enter two or more whole numbers separated by commas or spaces and it also tells you whether they are coprime.
The GCD is found with the Euclidean algorithm: repeatedly replace the larger number with the remainder of dividing the two until one becomes zero; the other is the GCD. The LCM is then built up pairwise using LCM = a × b ÷ GCD. For 12, 18 and 24 the greatest common divisor is 6 and the least common multiple is 72. When the GCD is 1 the numbers share no common factor and are called coprime.
The GCD is what you use to reduce a fraction to lowest terms, while the LCM gives the common denominator for adding fractions and the period at which repeating cycles line up. The result is the same no matter what order you enter the numbers in.
Su'aalaha badanaa la isweydiiyo
Sidee ayaa GCD la xisaabiyaa?
Waxay isticmaalaan algorithm Euclidean: marar badan bedeli tirada weyn ee la qaybinta labada, ilaa mid ka mid ah noqdaan zero. kale waa GCD.
Sidee GCD iyo LCM la xiriira?
Laba lambaro, GCD × LCM = natiijada ee lambarrada. Sidaas LCM = a × b ÷ GCD, taas oo ah sida qalabka u kordhiya LCM ka badan liiska oo dhan.
Maxaa coprime micnaheedu yahay?
Laba ama in ka badan oo tirada ah waa coprime marka ay ugu weyn qaybinta guud waa 1 — waxay wadaagaan wax faahfaahin guud oo kale oo ka badan 1.
Ma ku gali karaa laba lambar oo ka badan?
Haa. kala qaybiyaan tirada buuxda ee la xarafka ama booska iyo GCD iyo LCM waxaa lagu xisaabiyaa oo dhan liiska oo dhan.
Waa maxay GCD iyo LCM ee 12, 18 iyo 24?
Qaybta ugu weyn ee isku midka ah waa 6 (tirada ugu weyn ee kala qaybisa saddexda oo dhan) iyo tirada ugu yar ee isku midka ah waa 72.
Ma nidaamka tirada muhiim ma tahay?
No. Labada GCD iyo LCM waa isku mid xitaa haddii aad ku qorto lambarrada in.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →
Xarafka
GET https://calculator.free/api/v1/gcd-lcm/curl
curl "https://calculator.free/api/v1/gcd-lcm/?numbers=12, 18, 24"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/gcd-lcm/?" + new URLSearchParams({
"numbers": "12, 18, 24"
}));
const data = await r.json();
console.log(data.results);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.