Answer :
Answer:
The paper cutting and pasting method to find the highest common factor (HCF) of two numbers is a visual and hands-on approach. Here's how you can do it:
Prepare Materials: Get two strips of paper of lengths corresponding to the two numbers for which you want to find the HCF. For example, if your numbers are 12 and 18, cut one strip to be 12 units long and the other to be 18 units long.
Align Strips: Place the two strips next to each other, aligning one end.
Cut and Compare:
From the longer strip (18 units), cut a segment equal to the length of the shorter strip (12 units).
This leaves a remainder piece from the longer strip. For 18 and 12, you cut 12 units from 18 units, leaving 6 units.
Repeat the Process:
Now, take the piece that was left (6 units) and compare it to the shorter strip from the previous step (which was 12 units initially, but now is 6 units because 12 - 6 = 6).
Cut the longer of the two new lengths with the shorter one. In this case, since both are now 6 units, you will see they are equal, and no further cutting is required.
Find the HCF: The length of the piece when you cannot cut anymore is the HCF. In this case, it's 6.
To summarize, you keep cutting the longer piece by the shorter piece until the lengths match or you are left with no remainder. The last non-zero remainder is the HCF.For a more detailed step-by-step example:
Start with strips of 18 units and 12 units.
Cut a 12-unit piece from the 18-unit strip, leaving a piece of 6 units.
Now compare 12 units and 6 units. Cut a 6-unit piece from the 12-unit strip, leaving another 6-unit piece.
Both strips are now 6 units long, so the HCF is 6.
This method is akin to the Euclidean algorithm but done visually with paper strips.