Find the greatest number which will divide $2112$ and $2792$ leaving the remainder $4$ in each case.

Find the greatest number that will divide $43, 91$ and $183$ so as to leave the same remainder in each case.

Find the greatest number that will divide $390, 495,$ and $300$ without leaving a remainder.

Three bells ring together and they will ring at intervals of $6$ seconds,$7$ seconds and $8$ seconds respectively. After what interval will they again ring together? (in seconds)

The areas of three fields are $165 \ m^2$,$195 \ m^2$,and $85 \ m^2$ respectively. In each of the fields,a flower bed of equal length has to be made. If the flower bed in each of the fields is $3 \ m$ wide,then what is the maximum length of the flower bed in each of the fields? (in $m$)

Find the least number which when divided by $2, 3, 4, 5$ and $6$ leaves $1, 2, 3, 4$ and $5$ as remainders,respectively,but when divided by $7$ leaves no remainder.