The student council was preparing for the wellness sale. The members divided each type of the donated items equally onto plates. Each plate contained only 1 type of item and every plate had exactly the same number of items. There were no leftovers. What is the greatest number of items that could have been placed on each​ plate? Wellness Sale Donations Celery 63 Cucumbers 14 Carrots 35 The greatest number of items that each plate could have is nothing items. ​(Type a whole​ number.)

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Answer:

The greatest number of items on each plate is 7

Step-by-step explanation:

Given

[tex]Celery = 63[/tex]

[tex]Cucumber = 14[/tex]

[tex]Carrot = 35[/tex]

Required

Determine the greatest number of items on each plate

To do this, we simply calculate the GCF of 63, 14 and 35

[tex]63 =3 * 3 * 7[/tex]

[tex]14 = 2 * 7[/tex]

[tex]35 = 5* 7[/tex]

The GCF is:

[tex]GCF = 7[/tex]

Hence:

The greatest number of items on each plate is 7