Question

find the greatest number which will divide the greatest three digit number and the greatest 4 digit number exactly

Answer 1

Answer:

answer is 33

Step-by-step explanation:

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Answer 2

The greatest number which will divide the greatest 3 digit number and the greatest 4 digit number exactly is 9

Given :

The greatest 3 digit number and the greatest 4 digit number

To find :

The greatest number which will divide the greatest 3 digit number and the greatest 4 digit number exactly

Solution :

Step 1 of 3 :

Write down greatest 3 digit number and the greatest 4 digit number

The greatest 3 digit number = 999

The greatest 4 digit number = 9999

Step 2 of 3 :

Prime factorise the numbers

999 = 3 × 3 × 3 × 37

9999 = 3 × 3 × 11 × 101

Step 3 of 3 :

Calculate the required number

The number greatest number which will divide the greatest 3 digit number and the greatest 4 digit number exactly is HCF of the two numbers

HCF of 999 and 9999

= 3 × 3

= 9

Hence the greatest number which will divide the greatest 3 digit number and the greatest 4 digit number exactly is 9

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