Question

State eculid's division lemma

Answer 1

Euclid’s division lemma:

Euclid’s division lemma, states that for any two positive integers ‘a’ and ‘b’ we can find two whole numbers ‘q’ and ‘r’ such that a = b × q + r where 0 ≤ r < b.

Euclid’s division lemma can be used to find the highest common factor of any two positive integers and to show the common properties of numbers.

Answer 2

According to Euclid’s Division Lemma

if we have two positive integers a and b, then there exists unique integers q and r which satisfies the condition a = bq + r

where 0 ≤ r ≤ b .

Eg

If we have two integers a=27 and b=4

Then 27= 4×6 + 3,

Where q= 6 and r= 3(less than b=4) are also integers.

I hope it will help you