Q. 4 C3.7( 3 Votes )

Find the HCF (Hig

Answer :

From the integers given in the question 243 and 75, it is observed that 243 > 75. So by Euclid’s Division Lemma we get the following:

243 = 75 × 3 + 18


Here the remainder is 18 which is not equal to zero. So applying Euclid’s Division Lemma on divisor 75 and remainder 18.


75 = 18 × 4 + 3


Here the remainder is 3 which is not equal to zero. So applying Euclid’s Division Lemma on divisor 18 and remainder 3.


18 = 3 × 6 + 0


So from the above relation is seen that remainder zero is obtained.


So the HCF of 243 and 75 is 3.


The entire process can be expressed in the following way:



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