Question

Use Euclid’s division algorithm to find the HCF of

(i) 867 and 255. (ii) 196 and 38225​

Answer 1

867=255 × 3 +102

255 = 102 × 2 + 51  

102 = 51 × 2 + 0

So, HCF (867,255) = 51

ii) 38220 = 196*195+5

980 = 196*5+0

so HCF= 196

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=45

90=45×2+0

So,  H.C.F of 135 and 225 is 45

(ii) By Euclid's division lemma,

38220=196×195+0r=0

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.