Question

PCS 20 4. Найдите: : HOK(3; 15); HOK(90; 45); HOK(25; 50; HOK(7; 11); HOK(300; 150); HOK(21; 25). HOK(45; 46); HOK(17; 23); HOK(51; 125); HOK(11; 99);

Answer 1

1) 15 2) 90 3) 50 4) 77 5) 300 6) 525 7)2070 8) 391 9) 6375 10) 99

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Answer 2

Calculation of HOK Values

To calculate the HOK (Highest Order Key) values for the given numbers, we need to find the highest common factor (HCF) or greatest common divisor (GCD) of each pair of numbers. Here are the calculations for each pair:

1. HOK(3, 15): - The HCF of 3 and 15 is 3. - Therefore, HOK(3, 15) = 3.

2. HOK(90, 45): - The HCF of 90 and 45 is 45. - Therefore, HOK(90, 45) = 45.

3. HOK(25, 50): - The HCF of 25 and 50 is 25. - Therefore, HOK(25, 50) = 25.

4. HOK(7, 11): - The HCF of 7 and 11 is 1. - Therefore, HOK(7, 11) = 1.

5. HOK(300, 150): - The HCF of 300 and 150 is 150. - Therefore, HOK(300, 150) = 150.

6. HOK(21, 25): - The HCF of 21 and 25 is 1. - Therefore, HOK(21, 25) = 1.

7. HOK(45, 46): - The HCF of 45 and 46 is 1. - Therefore, HOK(45, 46) = 1.

8. HOK(17, 23): - The HCF of 17 and 23 is 1. - Therefore, HOK(17, 23) = 1.

9. HOK(51, 125): - The HCF of 51 and 125 is 1. - Therefore, HOK(51, 125) = 1.

10. HOK(11, 99): - The HCF of 11 and 99 is 11. - Therefore, HOK(11, 99) = 11.

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