Find the greatest numbers that will divide 445 , 572 and 699  leaving remainders 4, 5 and  6 respectively.

The length  , breadth  and height of a room are 8 m 25 cm , 6 m 75 cm and  4 m 50 cm respectively . Determine the longest rod which can  measure the three dimension of the room exactly.

Find the greatest number of 6 digits which exactly divisible by  24 , 15  and 36

Determine the number nearest to 100000 but greater than 100000  which is exactly divisible by each of 8 ,15 and 21

Find the smallest number which  leaves remainders 8 and 12 when  divided by  28 and 32 respectively.

The LCM and HCF  of two numbers are 180 and 6   respectively  If one of the numbers is 30 , find the 

    other number.

If HCF of 408 and 1032 is expressible in the form 1032 m – 408 x 5  find m.

Find the least number that  is divisible by all the numbers between 1 and 10 ( both   inclusive )

In a morning walk three persons step off together, their steps measure 80 cm ,85 cm and 90 cm respectively. What is the minimum distance each should walk so that he cover the distance in complete steps?

Determine the number nearest to 100000 but greater than 100000 which is exactly divisible by each of 8 , 15 , 21.