Question

144 = 2 ∙ 2 ∙ 2 ∙ 2 ∙ 3 ∙ 3; 192 = 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 3;ЕҮОБ (144, 192) = 2 ∙ 2 ∙ 2 ∙ 2 ∙ 3 = 48.v​

Answer 1

144 = 2 * 2 * 2 * 2 * 3 * 3

192 = 2 * 2 * 2 * 2 * 2 * 2 * 3

• НОД (144; 192) = 2 * 2 * 2 * 2 * 3 = 48
• НОК (144; 192) = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 = 576

Answer 2

It seems like you're discussing the process of finding the greatest common divisor (GCD) of two numbers, 144 and 192. The GCD is the largest positive integer that divides both of the given numbers without leaving a remainder.

You've correctly broken down the prime factorization of 144 and 192:

• 144 = 2 * 2 * 2 * 2 * 3 * 3
• 192 = 2 * 2 * 2 * 2 * 2 * 2 * 3

To find the GCD, you can identify the common prime factors and their lowest exponent in both factorizations. In this case, the common factors are 2, 2, 2, 2, and 3. The lowest exponent for each common factor is 2 for the four 2's and 1 for the single 3. Thus, the GCD of 144 and 192 is:

GCD(144, 192) = 2 * 2 * 2 * 2 * 3 = 48

So, your calculation is correct: GCD(144, 192) = 48.