Question

Activity to find the h.c.f. of two numbers experimentally based on euclid's division lemma or algorithm.

Answer 1

this is the  answer experimentally

Answer 2

HCF by Euclid's lemma

Let's Take an example of 50 and 40. Assume that we have to find out the HCF of 50 and 40.

Step 1: 
Divide 50 by 40. The remainder will be 10
Step 2:
Now divide 40 by 10. Remainder will be 0

That means 10 is the HCF of 50 and 40

Take another example:
Assume we have to find out the HCF of 70 and 50
Step 1:
Divide 70 by 50. The remainder will be 20
Step 2:
Divide 50 by 20. The remainder will be 10
Step 3:
Divide 20 by 10. The remainder will be 0

that means 10 is the HCF of 70 and 50

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