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QuestionFind the
Greatest Common Divisor (GCD) of the numbers 1400 and 1080.
Answer$1400=({2}^{3})({5}^{2})(7)$
$1080=({2}^{3})({3}^{3})(5)$
The GCD of 1400 and 1080 is the product of the least powers of each prime factor in both.
Thus the GCD of 1400 and 1080
$=({2}^{3})(5)$
$=40$