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9 April, 07:27

If a is an integer, prove that (14a + 3, 21a + 4) = 1.

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  1. 9 April, 09:18
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    (14a+3, 21+4) = 1

    Step-by-step explanation:

    We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.

    gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1

    Therefore,

    (14a + 3, 21a + 4) = 1
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