Помогите найти:НОД И НОК чисел:
14;35
10;30
8;21
48;54
560;530
12;16;18
a;b , если a=2*2*2*3*3*5*5; а b= 2*2*2*2*3*5
14;35
10;30
8;21
48;54
560;530
12;16;18
a;b , если a=2*2*2*3*3*5*5; а b= 2*2*2*2*3*5
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14=1,2,7,14.
35=1,5,7,35.
НОК(14;35)=2*7*5=70
2. НОД(10;30)=10
10=1,2,5,10.
30=1,2,3,5,6,10,15.
НОК(10;30)=2*5*3=30
3. НОД(8;21)=1
8=1,2,4,8.
21=1,3,7,21.
НОК(8;21)=2*4*3*7=168
4. НОД(48;54)=18.
48=1,2,3,4,6,8,12,18,24,48.
54=1,2,3,6,9,18,27,54.
НОК(48;54)=2*3*3*3*2*2*2=432
48:2 54:2
24:2 27:3
12:2 9:3
6:2 3:3
3:3 1
1
5. НОД(560;530)=10
560=1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,108,140,280,560.
530=1,2,5,10,53,106,265,530.
НОК(560;530)=2*5*53*2*2*2*7=29680
560:2 530:2
280:2 265:5
140:2 53:53
70:2 1
35:5
7:7
1
6. НОД(12;16;18)=2.
12=1,2,3,4,6,12.
16=1,2,4,8,16.
18=1,2,3,6,9,18.
НОК(12;16;18)=2*6*2*2*2*9=864
7. НОД(1800;240)=120.
1800=1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40 ,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800.
240=1,2,3,4,6,8,10,24,30,40,60,80,120,240.
НОК(1800;240)=2*2*3*3*2*5*5*2=3600.
1800:2 240:2
900:2 120:2
450:3 60:2
150:3 30:2
50:2 15:3
25:5 5:5
5:5 1
1