Find the HCF of 450 and 125 by using Euclid's division lemma.
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Answer:
Find the HCF of 450 and 125 by using Euclid's division lemma.
Step-by-step explanation:
450=125*+75
125=75*1+50
75=50*1+15
50=15*3+5
15=5*3+0
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Question :
Find the HCF of 450 and 125 by using Euclid's division lemma.
Solution :
These numbers should be now expressed in the form of : a = bq + r [where 0 ≤ r < b]
Here,
- a = Dividend
- b = Divisor
- c = Quotient
- r = Remainder
Now,
- 450 = 125 × 3 + 75
- 125 = 75 × 1 + 50
- 75 = 50 × 1 + 25
- 50 = 25 × 2 + 0
_____________________
Therefore, 25 is the HCF of 450 and 125.
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