Tanya as 8 bird posters and 12 reptile posters to display in groups. She wants each group to have the same number of posters and to have one type of animal. What is the greatest umber of posters she can put in each group?
What is the greatest common factor of 8 and 12?
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To find the greatest number of posters Tanya can put in each group, we need to find the greatest common divisor (GCD) of the number of bird posters (8) and reptile posters (12).
Step 1: Find the divisors of the two numbers.
The divisors of 8 are 1, 2, 4, 8.
The divisors of 12 are 1, 2, 3, 4, 6, 12.
Step 2: Find the common divisors.
The common divisors are 1 and 2.
Step 3: Determine the Greatest Common Divisor (GCD).
The GCD of 8 and 12 is 2.
Therefore, Tanya can put a maximum of 2 posters in each group.
To find the greatest number of posters Tanya can put in each group, we need to find the greatest common divisor (GCD) of the two numbers: 8 (bird posters) and 12 (reptile posters).
Here's how you can calculate the GCD using the Euclidean algorithm:
Step 1: Divide the larger number (12) by the smaller number (8), and find the remainder.
12 ÷ 8 = 1 remainder 4
Step 2: Now, take the divisor (8) and divide it by the remainder (4).
8 ÷ 4 = 2 remainder 0
Since the remainder is zero, the divisor at this step (4) is the GCD.
Therefore, the greatest number of posters Tanya can put in each group is 4.