Question

Determinati cel mai mare difizor comun al urmatoarelor numere: a)20 ,30 ,85 ; b) 144 ,396, 196 ; c) 720, 216 ,900 ; d) 14, 32, 42 ; e) 216, 300, 432; d) 126, 162, 270; VA ROG...CINEVA..

Answer 1

Cel mai mare divizor comun=produsul factorilor primi comuni la puterea cea mai mica

a)20 ,30 ,85
20=2²x5
30=2x3x5
85=5x17
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(20,30,85)=5

b) 144 ,396, 196
144=2⁴x3²
396=2²x3²x11
196=2²x7²
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(144,396,196)=2²=4

c) 720, 216 ,900 
720=2⁴x3²x5
216=2³x3³
900=2²x3²x5²
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(720,216,900)=2²x3²=4x9=36

d) 14, 32, 42
14=2x7
32=2⁵
42=2x3x7
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(14,32,42)=2

e) 216, 300, 432; 
216=2³x3³
300=2²x3x5²
432=2⁴x3³
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(216,300,432)=2²x3=12

d) 126, 162, 270
126=2x3²x7
162=3⁴x2
270=2x3³x5
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(126,162,270)=3²=9