What is the hcf of 33,99 and 121 pls ans
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Step-by-step explanation:
HCF of 99, 33 and 121 is 11.
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Answer: GCF(33, 99, 121) = 11.
Explanation:
- By Euclid's division lemma:
Taking 99 and 121.
121 = 99 × 1 + 22
(We will process till r = 0.)
99 = 22 × 4 + 11
22 = 11 × 2 + 0
∴ HCF(99, 121) = 11.
Now, taking 11 and 33.
33 = 11 × 3 + 0.
Therefore, HCF of 33, 99, 121 = 11.
- By Fundamental Thm of Arithmetic:
33 = 11 × 3
99 = 11 × 3²
121 = 11²
So, HCF = 11¹ or 11.
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