use Euclid's Division Lemma - to find
HCF of 460 and 20468
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Step-by-step explanation:
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Answer:
- HCF of 460 and 20468 is 4.
Step-by-step explanation:
Given:
- Numbers - 460 and 20468
To Find:
- HCF by Euclid Division lemma.
>> What is Euclid Division lemma?
⇒ According to Euclid division lemma let a and b are two integers and there exist unique integers such that:
⇒ a = bq + r
Where,
- a and b are positive integer.
- r is remainder.
- q is quotient.
⇒ And, 0 ≤ r ≤b.
Now, we will come on Question,
⇒ a = bq + r
⇒ 20468 = 460 × 44 + 228
⇒ 460 = 228 × 2 + 4
⇒ 228 = 4 × 57 + 0
Hence, Remainder be 0.
So HCF of 460 and 20468 is 4.
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