60 наименьший общий знаменатель дробей
1) 15 = 1 · 3 · 5,
<span> 35 = 1 · 5 · 7,
</span>НОД(15, 35) =<span> 5</span>;
НОK(15, 35) =<span> 3 · 5 · 7 </span>=<span> 105</span><span>.
2) </span>72 = 1 · 2³ · 3²,
<span> 64 = 1 · 2</span>⁶<span>,
</span>НОД(72, 64) =<span> 2</span>3 =<span> 8</span>;
НОK(72, 64) =<span> 2</span>6<span> · 3</span>2 =<span> 576</span>.<span>
3) </span>44 = 1 · 2² · 11,
<span> 21 = 1 · 3 · 7,
</span>НОД(44, 21) =<span> 1</span>;
НОK(44, 21) =<span> 2</span>²<span> · 3 · 7 · 11 </span>=<span> 924</span><span>.
4) </span>36 = 1 · 2² · 3²,
<span> 48 = 1 · 2</span>⁴<span> · 3,
</span>НОД(36, 48) =<span> 2</span>²<span> · 3 </span>=<span> 12</span>;
НОK(36, 48) =<span> 2</span>⁴<span> · 3</span>² =<span> 144</span><span>.
5) </span>210 = 1 · 2 · 3 · 5 · 7,
<span> 350 = 1 · 2 · 5</span>²<span><span> · 7,
</span>НОД(210, 350) = 2 · 5 · 7 = 70;
НОK(210, 350) = 2 · 3 · 5</span>²<span> · 7 = 1050.
</span><span>
6) </span>70 = 1 · 2 · 5 · 7
,<span><span>50 = 1 · 2 · 5</span></span>²<span><span>,
</span>НОД(70, 50) = 2 · 5 = 10;
НОK(70, 50) = 2 · 5</span>²<span> · 7 = 350.</span><span>
</span>
<span>7х+2у=9/*(-1)</span>
<span>5х+2у=11</span>
Ширина первого равна 96:16=6см, ширина второго: 6-2=4см, длина второго: 96:4=24см. Ответ: 24см и 4см.