With a population of 26 million, Gansu is one of China's more lightly populated provinces, although the area of Dingxi has a greater concentration of farms in rolling hills terraced with fields for crops and fruit trees. Dingxi has a total population of about 2.7 million.
The deaths and injuries were reported in Min County and other rural southern parts of the municipality, Dingxi Mayor Tang Xiaoming told state broadcaster CCTV. Tang said damage was worst in the counties of Zhang and Min, where scores of homes were damaged and telephone and electricity services knocked out.
Su Wei, leader of a 120-member rescue team from the paramilitary People's Armed Police, told state broadcaster CCTV that they were on their way to the epicentre, but progress was being slowed by mud and rock slides blocking the road.
The Chinese Red Cross said it was shipping 200 tents, 1,000 sets of household items, and 2,000 jackets to the area and sending teams from both Lanzhou and Beijing to help with relief work and assess further needs.
Heavy rain is expected in the area later in the week, raising the need for shelter and increasing the chance of further landslides.
The government's earthquake monitoring centre said the initial quake at 7:45am (local time) was magnitude-6.6 and subsequent tremors included a magnitude-5.6.
The quake was shallow, which can be more destructive. The centre said it struck about 20 kilometres beneath the surface, while the Gansu provincial earthquake administration said it was just 6 kilometres deep.
The US Geological Survey measured the magnitude of the initial quake as 5.9 and the depth at 10 kilometres.
Initial measurements of an earthquake can vary widely, especially if different monitoring equipment is used.
Dingxi is about 1,233 kilometres west of Beijing.
China's worst earthquake in recent years was a 7.9-magnitude temblor that struck the southwestern province of Sichuan in 2008, leaving 90,000 people dead or missing.
- AP