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Find the HCF of 26676

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Find the HCF of 26676
  • 1 answers

Bhuvaneshwari Shivapur 1 year, 6 months ago

Solution:- Euclid's division lemma : Let a and b be any two positive Integers . Then there exist two unique whole numbers q and r such that a=bq+r , 0≤r<b Now , start with a larger integer , that is 337554, Apply the division lemma to 337554 and 26676, 337554=26676×12+17442 26676=17442×1+9234 17442=9234×1+8208 9234=8208×1+1026 8208=1026×8+0 The remainder has now become zero , so our procedure stops. Since the divisor at this stage is 1026 . ∴HCF(337554,26676)=1026
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