Question

The least number of five digits that have 144 their hcf is?

Answer 1

Solution :-

We have to find the least five digit number, which has 144 as its H.C.F.

Least five digit number = 10000

Now, we have to divide 10000 by 144.

          _______
    144) 10000 (69      
              864
            ______
              1360
              1296
           ________
                  64 - Remainder
           ________

Now, we will subtract 64 from 144 and the number we get after subtracting 
will be added to 10000.

⇒ 144 - 64 = 80

⇒ 10000 + 80

= 10080

So, 10080 is the least five digit number which has 144 as its H.C.F.
_______________________________________________________

Let us check our answer.
            _______
     144 ) 10080 (70   
              1008
              _____
                   00
              _____

⇒ 10080 ÷ 144 
Quotient = 70
Remainder = 0