use Euclid,s division algorithm to find the HCF of (1) 125 and 225 (2) 196 and 38220 (3) 867 and 255
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Answer:
1. 25
2. 196
3. 3
these are the HCF, your answer and step by step explanation is in the picture
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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.
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