Euclid's Division Lemma

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Euclid's Division Lemma: Overview

This topic covers concepts, such as, Lemma, Algorithm, Least Common Multiple (LCM) & Highest Common Factor (HCF) etc.

Important Questions on Euclid's Division Lemma

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Find the HCF of the following

3,12

_____

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Find the L.C.M of 8 and 24

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Atul exercises every 16 days and Arjun exercises every 10 days. Atul and Arjun both exercised today. How many days will it be until they exercise together again.

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If the H.C.F of 96,404=4, then find the L.C.M of 96,404

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Find the L.C.M of 336 and 54 using prime factorisation method

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Find the L.C.M of 6,72, 120 using prime factorisation method.

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Identify the natural numbers among the given series of numbers: -3,-10,0,5,8,4.6,98,2.9

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Are the natural numbers positive integers? Justify the answer.

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Natural numbers are whole numbers. Justify the answer.

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Negative numbers are natural numbers.

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0 is a natural number

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Find the HCF of 250 and 75 using Euclid's Division Lemma

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Find the least number which is divisible by 18,24 and 42

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Find HCF of 135 and 225 (use Euclid's division Algorithm).

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17=6×2+5 is compared with Euclid's Division lemma a=bq+r, then which number is representing the remainder?

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Find the HCF by using long division method:
30,90,120

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Find the HCF by using long division method:
175,105,70.

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Find the HCF by using long division method:
240,510

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Find the HCF by using long division method:
42,68

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Find the HCF of 68 and 119.