Question

If the hcf of 657 and 963 is expressible in the form of 657 x + 963 * (-15), find the value of x.

Answer 1

Answer:

Using Euclid’s Division  Lemma

a= bq+r / Dividend= Divisor * Quotient + Remainder

=963=657×1+306  

=657=306×2+45  

=306=45×6+36  

=45=36×1+9  

=36=9×4+0  

∴HCF is 9

9=657x - (963*15)   657x= 14454  

X=22

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Step-by-step explanation: