Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2100  Answers: A) 30 B) 70 C) 210 D) 300 E) 700
Since 3 is the GCF of 27 (3.3.3) and x =&gt; x has only one "3 in its prime box.   Since 10 (2.5) is the GCF of 100 (2.2.5.5) and x =&gt; x has only one 2 and one 5 in its primebox.   So x = 2.3.5.n (n=something that is not 2, 3, 5)   2100 = 2.3.5.7 =210   The GCF of x and 2100 is the product of the common factors of x and 2100 =&gt; the max possible is 2100.   ANSWER:210
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Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2100