Question

Find the greatest number which will divide the greatest 3-digit number and the greatest 4-digit number exactly

Answer 1

Answer:

9

Step-by-step explanation:

gre. 3 digit no. =999

gre. 4 digit no. =9999

greatest no. which divide both the no. exactly=hcf(999,9999)

999=3*3*111

9999=3*3*11*11

the common no. =3*3

so hcf=9

greatest no. is=9

Answer 2

Answer:The greatest number which will divide the greatest three digit number and the greatest four digit number exactly is 9.

Step-by-step explanation:

Given: The greatest number which will divide the greatest 3-digit number and the greatest 4-digit number exactly.

To find: We have to find the greatest number which divide the greatest three digit number and greatest four digit number.

Explanation:

Step 1:As we know that the greatest three digit Number is 999.

Step 2: As we know that the greatest four digit Number is 9999.

Step 3: To find the greatest number which divide 999 and 9999 we have to find out the factors of 999 and 9999 respectively.

Step 4: On finding of factors, we have,

            The Factors of 999 $= 3$ × $3$ × $111$

          The Factors of 9999 $= 3$ × $3$ × $11$ × $101$

Step 5: Now we will find out the HCF of 999 and 9999,

            So,HCF is given by 3×3=9

Hence, the greatest number which will divide the greatest three digit number and the greatest four digit number exactly is 9.

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