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12 April, 21:11

What is the greatest common factor of 30a^2b^4 and 24ab^3

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  1. 12 April, 22:09
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    30. a². b⁴ and 24. a. b³

    1st: 30 in prime factor = 2x3x5

    2nd: 24 in prime factor = 2³ x 3

    Greatest Common Factor = common factor to 1st and 2nd raised at lowest exponents:

    = 2 x 3 = 6

    Now same principle for a². b⁴ and a. b³: Greatest Common Factor = a. b³

    At last the Greatest Common Factor of 30. a². b⁴ and 24. a. b³ = 6ab³

    Prove: 30. a². b⁴ / 6ab³ = 5a. b

    and 24a. b³ / 6a. b = 6b²
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