Question

use Euclid's division algorithm to find the HCF of (i) 900 and 270 (ii) 196 and 38220 (iii) 1651 and 2032​

Answer 1

Answer:

(I) HCF=90

(II) HCF=196

(III)HCF=127

Answer 2

Answer:

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Step-by-step explanation:

By Euclid's division lemma,

225=135×1+90

r=90

135=90×1+45

r=4

90=45×2+0

So,  H.C.F of 135 and 225 is 45

(ii) By Euclid's division lemma,

38220=196×195+0

r = 196

So, H.C.F of 38220 and 196 is 196

(iii) By Euclid's division lemma,

867=255×3+102

r=10

255=102×2+51

r=51

102=51×2+0

So, H.C.F of 867 and 255 is 51

The highest HCF among the three is 196.