Question

HCF and LCM of two three digit number are 18 and 1188 respectively find the number​

Answer 1

Answer:

The answer of the question is 66

Answer 2

The number are 108 and 198

Step-by-step explanation:

1. Let first three digit number is A and Second three digit number is B.

2. Given HCF of two number is 18 and LCM of two number is 1188.

  Means   HCF =18

                LCM =1188

3. From formula

             Product of two number = Product of first and second number

             We can write

     

             $\mathbf{A\times B= HCF\times LCM}$

             $\mathbf{A\times B= 18\times 1188}$                 ...1)

4. For making A and B three digit number, we can write 1188 as product of  

   6 and 198

             $\mathbf{A\times B= 18\times 6\times 198}$

    Finally we can write

             $\mathbf{A\times B= 108\times 198}$             ...2)

5. So from equation 2)

             A=108 and B= 198

6. So first number is 108 and second number is 198.