Answer:
The common divisor that leaves a reminder of 6 is 324
Step-by-step explanation:
Given
1626, 1950 and 2274
Required
Common divisor that leaves a remainder of 6
First, we subtract 6 from each number
[tex]1626 - 6 = 1620[/tex]
[tex]1950 - 6 =1944[/tex]
[tex]2274 - 6 = 2268[/tex]
Next, we find the common divisor of 1620, 1944, 2268
[tex]1620 \to 2 * 2 *3 * 3*3*3*5[/tex]
[tex]1944 \to 2 * 2 * 2 * 3 * 3 * 3 * 3 * 3[/tex]
[tex]2268 \to 2 * 2 * 3 * 3 * 3 * 3 * 7[/tex]
The common factors are:
[tex]Common = 2 * 2 * 3 * 3 * 3 * 3[/tex]
[tex]Common = 324[/tex]
