1.تمارين محلولة حول القاسم المشترك الأكبر

1
4539
3471
E = 4539
3471 + 3 26
4 539 = 1 x 3 471 + 1 068
3 471 = 3 x 1 068 + 267
1 068 = 4 x 267 + 0
PGCD(4 539, 3 471) = 267
4 539
3 471 = 4 539 :267 3 471 :267 = 17 13
E = 4539
3471 + 3 26 = 17 13 + 3 26 = 17x2 26 + 3 26 = 34 26 + 3 26 = 37 26
1

a
b
286
130
156
156
130
26
130
26
104
104
26
78
78
26
52
52
26
26
26
26
0
a
b
r
286
130
26
130
26
0
 99cm 55 cm 
 m : m
5
4

Pgcd
135 = 39 x 3 +18
39 = 18x2 + 3
18 = 6 x 3 + 0
Pgcd(135 ; 39 ) = 3
135 : 3 = 45
39 : 3 = 13
2 ( 45 + 13 )= 116
:
.
E = 4539
3471 + 3 26
6

4 539 = 1 x 3 471 + 1 068
3 471 = 3 x 1 068 + 267
1 068 = 4 x 267 + 0
PGCD(4 539, 3 471) = 267
4 539
3 471 = 4 539 :267 3 471 :267 = 17 13
E = 4539
3471 + 3 26 = 17 13 + 3 26 = 17x2 26 + 3 26 = 34 26 + 3 26 = 37 26
cm cm
8

mm
5,18 m = 518 cm 1,85 m = 185 cm
 Pgcd
cm