Question

Clasa a VI-a C SUBIECTUL I. (50 puncte) 1. Calculați c.m.m.m.d.c al numerelor 60,144si 252 ajutorr am nevoie repede ​

Answer 1

60 = 2^2 • 3 • 5
144 = 2^4 • 3^2
252 = 2^2 • 3^2 • 7
(60, 144, 252) = 2^2 • 3 = 12

Answer 2

$60 = {2}^{2} \times 3 \times 5$

$144 = {2}^{4} \times {3}^{2}$

$252 = {2}^{2} \times {3}^{2} \times 7$

Dacă dorești c.m.m.m.c

$[60;144;252] = {2}^{4} \times {3}^{2} \times 5 \times 7 = 16 \times 9 \times 5 \times 7 = 144 \times 5 \times 7 = 720 \times 7 = 5040$

Dacă dorești c.m.m.d.c

$(60;144;252) = {2}^{2} \times 3 = 4 \times 3 = 12$