Answer:
140 g
Step-by-step explanation:
Note that
- [tex]10=\underline{2}\cdot \mathbf{5};[/tex]
- [tex]20=\underline{2}\cdot 2\cdot \mathbf{5};[/tex]
- [tex]35=\mathbf{5}\cdot 7[/tex]
As you can see 5 is the common factor for all three numbers and 2 is the common factor only for the first two numbers. So, the greatest common factor
[tex]GCF(10,20,35)=5\cdot 2\cdot 2\cdot 7=140\ g.[/tex]
The smallest mass of the block should be 140 g (it can be cut into 14 pieces of 10 g weight, 7 pieces of 20 g weight or 4 pieces of 35 g weight).
