Cody is making a scrapbook using 2 photos and 8 newspaper clippings. He wants all the pages to be set up in the same way, with the same combination of photos and newspaper clippings on every page. He also wants to make sure that no items are left over. What is the greatest number of scrapbook pages Cody can create?
Question
Cody is making a scrapbook using 2 photos and 8 newspaper clippings. He wants all the pages to be set up in the same way, with the same combination of photos and newspaper clippings on every page. He also wants to make sure that no items are left over. What is the greatest number of scrapbook pages Cody can create?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the number of photos and newspaper clippings Cody has. The GCD is the largest number that divides both numbers without leaving a remainder.
Step 1: Identify the numbers The number of photos is 2 and the number of newspaper clippings is 8.
Step 2: Find the GCD The GCD of 2 and 8 is 2.
Step 3: Interpret the result This means that Cody can create 2 scrapbook pages, each with 1 photo and 4 newspaper clippings. This way, all the pages will be set up in the same way and no items will be left over.
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