Question

A block is cut into equal units.

Answer 1

Answer:

140 g

Step-by-step explanation:

Note that

• $10=\underline{2}\cdot \mathbf{5};$
• $20=\underline{2}\cdot 2\cdot \mathbf{5};$
• $35=\mathbf{5}\cdot 7$

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

$GCF(10,20,35)=5\cdot 2\cdot 2\cdot 7=140\ g.$

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).