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Question
What is the largest number tha divides 84,144 or 36 without any remainder?
6
12
18
24
ANSWER : 2
Descrption
<p style="margin-left:0px;">To find the largest number that divides 84, 144, and 36 without any remainder, you can calculate the greatest common divisor (GCD) of these numbers.</p><p style="margin-left:0px;">First, find the prime factorization of each number:</p><ul><li>84 = 2^2 * 3 * 7</li><li>144 = 2^4 * 3^2</li><li>36 = 2^2 * 3^2</li></ul><p style="margin-left:0px;">Identify the common prime factors among these numbers and take the lowest exponent for each prime factor:</p><ul><li>Common prime factors: 2^2 and 3^1</li></ul><p style="margin-left:0px;">Multiply these common prime factors together: GCD = 2^2 * 3^1 = 4 * 3 = 12</p><p style="margin-left:0px;">So, the largest number that divides 84, 144, and 36 without any remainder is 12.</p>
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