The largest 4 digit number exactly divisible by 77 is:

To find the largest 4-digit number exactly divisible by 77, we follow a straightforward method of starting with the largest possible 4-digit number and adjusting it based on the remainder.

Step-by-Step Calculation

1. Identify the largest 4-digit number: The largest 4-digit number is 9999.

2. Divide by the divisor (77): Divide 9999 by 77 to see how much "extra" needs to be removed to make it perfectly divisible.

   • 9999 ÷ 77 = 129 with a remainder of 66.

3. Subtract the remainder: To find the largest number less than 9999 that is perfectly divisible by 77, subtract the remainder (66) from 9999.

   • 9999 - 66 = 9933

Therefore, the largest 4-digit number exactly divisible by 77 is 9933.