① 2430 and 1686
2430÷ 1686= 1……744
1686÷744=2…… 198
744÷ 198=3…… 150
198÷ 150= 1……48
150÷48=3……6
So the greatest common factor of 2430 and 1686 is 6.
②354 and 3009
3009÷354=8…… 177
354÷ 177=2
So the greatest common factor of 354 and 3009 is 177.
2. It takes three processes to process a machine part. In the first process, each worker can complete 8 pieces per hour, in the second process, each worker can complete 12 pieces per hour, and in the third process, each worker can complete 9 pieces per hour. How many people should be assigned to each of the three processes in order to achieve balanced production?
8. The least common multiple of12 and 9 is 72.
Top 72/8=9 people
The second road 72/ 12=6 people.
72/9= 8 people on the third road.