In Euclid-s division algorithm- a-bq-r a-b-q-r - Z- b- 0- r satisfies the condition

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Theorem

In Euclid's d...

Question

In Euclid's division algorithm, $a = b q + r (a, b, q, r \in Z, b \neq 0), r$ satisfies the condition____

0 \leq r < b .

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0 \leq r < | b |

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0 \leq r \leq | b |

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0 < r \leq b

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Solution

The correct option is A $0 \leq r < b .$
Euclids division lemma states that for any two positive integers $a$ and $b$ we can find two whole numbers $q$ and $r$ such that $a = b \times q + r$ where $0 \leq r < b .$

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Similar questions

Euclid's division lemma states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

(a) 1 < r < b (b) $0 < r \leq b$ (c) $0 \leq r < b$ (d) 0 < r < b

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a = b q + r, 0 \leq r < b .

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Q. If

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using Euclid's division algorithm find the values of

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In Euclid's division algorithm, a=bq+r(a,b,q,r∈Z,b≠0),r satisfies the condition____

The correct option is A 0≤r<b.Euclids 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.

In Euclid's division algorithm, $a = b q + r (a, b, q, r \in Z, b \neq 0), r$ satisfies the condition____

The correct option is A $0 \leq r < b .$
Euclids division lemma states that for any two positive integers $a$ and $b$ we can find two whole numbers $q$ and $r$ such that $a = b \times q + r$ where $0 \leq r < b .$