Question

C.m.m.d.c si c.m.m.m.c pt nr 120,180,200

Answer 1

Descompunem numerele in factori primi:

120 = 3 × 40 = 3 × 5 × 8 = 2^3 × 3 × 5

180 = 9 × 20 = 9 × 4 × 5 = 2^2 × 3^2 × 5

200 = 8 × 25 = 2^3 × 5^2

cmmdc = produsul factorilor comuni la exponentul cel mai mic.

cmmdc = 2^2 × 5 = 4 × 5 = 20

cmmmc = produsul tuturor factorilor la exponentul cel mai mare.

cmmmc = 2^3 × 3^2 × 5^2 = 8 × 9 × 25 = 8 × 25 × 9 = 200 × 9 = 1800

Answer 2

120 = 3*4 * 2*5=2³*3*5

180 = 2*9 * 2*5=2²*3²*5

200 =2* 2²*5² = 2³*5²

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c.m.m.d.c. = 2 * 5 = 20

c.m.m.m.c. = 2³ * 3² * 5² = 1800