Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 10 and 1890.

**Answer**

$10=(2)(5)$

$1890=(2)({3}^{3})(5)(7)$

The GCD of 10 and 1890 is the product of the least powers of each prime factor in both.

Thus the GCD of 10 and 1890

$=(2)(5)$

$=10$