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# Can you find the HCF of 3 numbers using euclids division lemma?

Updated: 8/30/2023 Wiki User

12y ago

Yes.

First find the HCF of two of the numbers, then find the HCF of that answer and the third number.

In this way you could find the HCF of as many numbers as you want. Wiki User

10y ago  Study guides Wiki User

12y ago

Get the greatest factor of two of the numbers, then get the greatest factor of the result with the third number.   Earn +20 pts
Q: Can you find the HCF of 3 numbers using euclids division lemma?
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Still have questions?  Related questions

### What is the greatest common factor of 12 and 64?

GCF of two or more numbers can be found using Euclid's Division Lemma.Euclid's Division Lemma: For any two numbers a and b(a>b) we can say a = bq+r.Applying Euclid's Division Lemma to 64 and 12: 64 = 12 x 5 + 4Since the remainder is not equal to zero we apply the division lemma to the divisor 12 and the remainder 4:12 = 4 x 3 + 0The last divisor is 4, which is the GCF(12,64).

Yes, you can.

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You cannot get 0 using only those numbers and division.

It is Ratio

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Theorem: A mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results. Lemma: A minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to prove a theorem. The distinction is rather arbitrary since one mathematician's major is another's minor claim. Very occasionally lemmas can take on a life of their own (Zorn's lemma, Urysohn's lemma, Burnside's lemma, Sperner's lemma).

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Using division or multiplication or addition??

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If there are no numbers to divide - not even 1 - then you have made a mistake.

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