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MENENTUKAN FPB DENGAN ALGORITMA EUCLIDES

MENENTUKAN FPB DENGAN ALGORITMA EUCLIDES. Jika maka dengan menerapkan algoritma euclides , pembagian berkali -kali diperoleh :. CONTOH :. Tentukan FPB(9800, 180) 9800 = 180.54+80 180 = 80.2+20 80 = 20.4 FPB(9800, 180)= 20

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MENENTUKAN FPB DENGAN ALGORITMA EUCLIDES

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  1. MENENTUKAN FPB DENGAN ALGORITMA EUCLIDES

  2. Jikamakadenganmenerapkanalgoritmaeuclides, pembagianberkali-kali diperoleh :

  3. CONTOH : • Tentukan FPB(9800, 180) 9800 = 180.54+80 180 = 80.2+20 80 = 20.4 FPB(9800, 180)= 20 Jika FPB(a,b)=d makaadabilanganbulat x dan y sehinggaax+by=d FPB(9800, 180)= 20 20 = 180-80.2 20 = 180-(9800-180.54)2 20 = 180-9800.2+180.108 20 = 180.109-9800.2 20 = 9800(-2)+180(109) Jadi x=-2 dan y=109

  4. KELIPATAN PERSEKUTUAN TERKECIL

  5. TEOREMA :

  6. BUKTI :

  7. CONTOH :

  8. LATIHAN : Tentukan FPB, nilai x dan y serta KPK daripasanganbilanganberikut : • 10.587 dan 534 • 1.587.645 dan 6.755 • 12.345 dan 9.999

  9. BILANGAN PRIMA DAN FAKTORISASI PRIMA

  10. Bilangan prima adalahsuatubilanganbulat p>1 yang tidakpunyafaktorpositifselain 1 dan p. • Bilanganbulat p>1 yang bukanmerupakanbilangan prima disebutbilangankomposit. • 1 bukanbilangan prima danbukanbilangankomposit (unit).

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