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Q.

Using Euclid’s division algorithm, find the HCF of 135 and 225.


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a

    34

b

    45

c

    23

d

    12 

answer is B.

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Detailed Solution

Given,
The numbers are 135 and 225.
Let a=135   and b=225  ,
Now as we know,
Euclid division lemma states that if we have two numbers a and b, then there exist unique integers p   and q which satisfies the condition a=bq+r,0≤r<b  .
Using Euclid division lemma, we get,
⇒225=135×1+90 ⇒135=90×1+45 ⇒90=45×2+0 ⇒HCF=45  
The reminder is 0.
Thus, the HCF of 225 and 135 is 45.
Therefore, option(2)     is correct answer.
 
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Using Euclid’s division algorithm, find the HCF of 135 and 225.