Question

Find the greatest number that divides 1626, 1950 and 2274 leaving a remainder of 6 in each case? Please help

Answer 1

The common divisor that leaves a reminder of 6 is 324

Explanation:

Given

1626, 1950 and 2274

Required

Common divisor that leaves a remainder of 6

First, we subtract 6 from each number

`1626 - 6 = 1620`

`1950 - 6 =1944`

`2274 - 6 = 2268`

Next, we find the common divisor of 1620, 1944, 2268

`1620 \to 2 * 2 *3 * 3*3*3*5`

`1944 \to 2 * 2 * 2 * 3 * 3 * 3 * 3 * 3`

`2268 \to 2 * 2 * 3 * 3 * 3 * 3 * 7`

The common factors are:

`Common = 2 * 2 * 3 * 3 * 3 * 3`

`Common = 324`