Which of the following numbers are co-prime? a- 18 and 35 b- 15 and 37 c- 30 and 415 d- 17 and 68 e- 216 and 215 f- 81 and 16

Question

Which of the following numbers are co-prime? a- 18 and 35 b- 15 and 37 c- 30 and 415 d- 17 and 68 e- 216 and 215 f- 81 and 16

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Genesis 3 days 2021-11-25T08:13:44+00:00 2 Answers 0 views 0

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    0
    2021-11-25T08:14:56+00:00

    Co-prime are numbers that do not share any common factors except 1

    Question (a);

    Prime factors of 18 = 2 x 3²

    Prime factors of 35 = 5 x 7

    HCF = 1

    Answer: Yes, they are co-prime

    Question (b);

    Prime factors of 15 = 3 x 5

    Prime factors of 37 = 37

    HCF = 1

    Answer: Yes, they are co-prime

    Question (c);

    Prime factors of 30 = 2 x 3 x 5

    Prime factors of 415 = 5 x 83

    HCF = 5

    Answer: No, they are not co-prime

    Question (d);

    Prime factors of 17 = 17

    Prime factors of 68 = 2² x 17

    HCF = 17

    Answer: No, they are not co-prime

    Question (e);

    Prime factors of 216 = 2³ x 3³

    Prime factors of 215 = 5 x 43

    HCF = 1

    Answer: Yes, they are co-prime


    Question (f);


    Prime factors of 81 = 3⁴


    Prime factors of 16 = 2⁴


    HCF = 1


    Answer: Yes, they are co-prime

    0
    2021-11-25T08:14:59+00:00

    Answer:

    a. 18 and 35

    b. 15 and 37

    e. 216 and 215

    f. 81 and 16

    These are co-prime

    30 and 415 have 1 and 5 in common and 17 and 68 have 17 and 1 in common.

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