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Fundemental Theorem of Arithmetic

Question

What is the HCF of two consecutive numbers?

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Solution

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HCF of two consecutive numbers is always 1 .
explanation : Take two consecutive numbers as 9 and 10. between these two numbers there is no common factor other than 1.
Take two consecutive numbers as 17 and 18. These two numbers do not have any factor common in them other than 1.

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