最大公因数及最小公倍数

Question

如题所述

Answer 1

1)6/7 = 54/63 = 2 * 3³ / 63 5/3 = 105/63 = 3 * 5 * 7 / 63 4/9 = 28/63 = 2² * 7 / 63最大公因数 = 1/63 最小公倍数 = 2² * 3³ * 5 * 7 / 63 = 3780/63 = 60 2)10.24 = 10240 / 1000 = 2¹¹ * 5 / 1000 4.96 = 4960 / 1000 = 2⁵ * 5 * 31 / 1000 0.576 = 576 / 1000 = 2⁶ * 3² / 1000最大公因数 = 2⁵ / 1000 = 0.032 最小公倍数 = 2¹¹ * 3² * 5 * 31 / 1000 = 2856.96 3)a * b * c = (a
b) * (b
c) * (a
c) / (a
b
c) * [a
b
c]163296 = 3 * 6 * 9 / (a
b
c) * [a
b
c](a
b
c) : [a
b
c] = 3 * 6 * 9 / 163296(a
b
c) : [a
b
c] = 1 : 1008