Question

write the greatest 4 digit number that is divisible by 3 and 9​

Answer 1

Answer:

9999 is the greatest 4 digit number that is divisible by 3 and 9.

Answer 2

Given: Two numbers 3 and 9

To find: The greatest four-digit number that is divisible by 3 and 9

Solution:

Steps to find the greatest four-digit number that is exactly divisible by given numbers:

Step 1 : Find the least common multiple (LCM) of given numbers.

Step 2 : Find the greatest 4 digits multiple of the LCM obtained.

LCM of 3 and 9 = 9

i.e., 9 is the least number which is exactly divisible by both 3 and 9.

Now, if 9 is divisible by the given numbers then multiples of 9 will also be exactly divisible by given numbers.

So, we need to find the greatest 4 digits multiple of 9.

The greatest four-digits multiple of 9 is 9999 (which is also the greatest four-digit number).

Hence, 9999 is the greatest four-digit number that is divisible by 3 and 9.