Question

Aplicando a decomposição em fatores primos, determine o mdc entre os números:
A) 50 e 60
B) 62 e 70
C) 25 e 50
D) 90 e 100

Com os cálculos!

Answer 1

$\geqslant \: resolucao \\ \\ a \: ) \: mdc \: ( \: 50 \: \: . \: \: 60 \: ) \\ \\ 50.60 \div 2 = \\ 25.30 \div 2 \\ 25.15 \div 3 \\ 25.5 \div 5 = \\ 5.1 \div 5 \\ 1.1 \\ \\ mdc \: > \: 2×5 = 10 \\ \\ = = = = = = = = = = = = = = = = \\ \\ b \: ) \: mdc \: ( \: 62 \: \: \: . \: \: 70 \: ) \\ \\ 62.70 \div 2 = \\ 31.35 \div 5 \\ 31.7 \div 7 \\ 31.1 \div 31 \\ 1.1 \\ \\ mdc = 2 \\ \\ = = = = = = = = = = = = = = = = \\ \\ c \: ) \: mdc \: ( \: 25 \: \: . \: \: 50 \: ) \\ \\ 25.50 \div 2 \\ 25.25 \div 5 = \\ 5.5 \div 5 = \\ 1.1 \\ \\ mdc \: > \: 5 \times 5 = 25 \\ \\ = = = = = = = = = = = = = = = = = \\ \\ d \: ) \: mdc \: ( \: 90 \: \: . \: \: 100 \: ) \\ \\ 90.100 \div 2 = \\ 45.50 \div 2 \\ 45.25 \div 3 \\ 15.25 \div 3 \\ 5.25 \div 5 = \\ 1.5 \div 5 \\ 1.1 \\ \\ mdc \: > \: 2 \times 5 = 10 \\ \\ \\ \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \leqslant \geqslant \geqslant$