SAN FRANCISCO — Apple is famous for setting trends.

In China, though, Apple has found success by following one.

For years, Apple rivals like Samsung offered large-screen smartphones. Although the bigger phones sold well in China, Apple held off on releasing a similar model, and the country remained a weak spot. But Apple introduced its own versions last September, and now the sales spigot is wide open.

The company on Tuesday reported $16.1 billion in revenue from “greater China” — which includes mainland China, Hong Kong and Taiwan — in its first fiscal quarter, up 70 percent from the same period a year ago. Canalys, a research firm, estimates that Apple is now the No. 1 smartphone maker in China.

The success in China helped push Apple to a blockbuster first quarter, increasing overall profit to $18 billion and revenue to $74.6 billion. In the same quarter a year ago, the company had profit of $13.1 billion and revenue of $57.6 billion.