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A series of well-defined steps which give a procedure for solving a type of problem is called
A series of well-defined steps which give a procedure for solving a type of problem is called an algorithm.
A proven statement used for proving another statement is called
A proven statement used for proving another statement is called a lemma.
Euclid’s division lemma can be used to find
Euclid’s division lemma can be used to find HCF of numbers.
Find the HCF of 117 and 45 by Euclid’s division lemma.
117 = 45 × 2 + 27
45 = 27 × 1 + 18
27 = 18 × 1 + 9
18 = 9 × 2 + 0
So, the HCF of 117 and 45 by Euclid’s division lemma is 9.
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