We can start by finding the differences between consecutive pairs of these numbers and find their GCD.<div>
</div><div>The differences are:</div><div>91 – 43 = 48</div><div>183 – 91 = 92</div><div>
</div><div>Now, let’s find the GCD of 48 and 92:</div><div>92 = 48 × 1 + 44</div><div>48 = 44 × 1 + 4</div><div>44 = 4 × 11 + 0</div><div>
</div><div>Since we have obtained a remainder of 0, we can conclude that the GCD of 48 and 92 is 4.</div><div>
</div><div>Therefore, the greatest number that will divide 43, 91, and 183 and leave the same remainder in each case is 4.</div>