Dominic collects sports science fiction and history books. He has 21 books about sports, 35 books about science fiction, and 14 about history. He wants the same number of each type of book on each shelf. What is the greatest number of each type of book on each shelf?
What is the greatest common factor of 21, 35, and 21?
21, 35, and 14
greatest number means GCF? If your answer is yes, the answer will be 7?
Right.
To find the greatest number of each type of book that Dominic can have on each shelf, we need to find the highest common factor (HCF) of the given numbers: 21, 35, and 14.
One way to find the HCF is to list the factors of each number and identify the largest factor they have in common. Let's start by finding the factors of each number:
Factors of 21: 1, 3, 7, 21.
Factors of 35: 1, 5, 7, 35.
Factors of 14: 1, 2, 7, 14.
From the list of factors, we can see that the largest factor common to all three numbers is 7.
Therefore, the greatest number of each type of book that Dominic can have on each shelf is 7.