Kim, a costume designer, has 36 bat buttons and 18 black cat buttons she must use to create costumes. What is the largest number of costumes she can make without having any buttons left over?(1 point) Responses 2 2 3 3 9 9 18
To make the largest number of costumes without having any buttons left over, Kim must use the same number of bat buttons and black cat buttons. Since she has 36 bat buttons and 18 black cat buttons, the common number she can use to make costumes without any leftover buttons is the greatest common divisor (GCD) of 36 and 18.
To find the GCD, we can list the factors of both numbers:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 18: 1, 2, 3, 6, 9, 18
From the lists, we can see that the greatest common divisor of 36 and 18 is 18.
Therefore, Kim can make 18 costumes without having any buttons left over.