Question 36

Find the HCF of two consecutive even integers.

Solution

let take 4,6 a two consecutive even integers

6 = $$2\times 3$$

4 =$$2\times 2$$

select the highest common factor = 2

similarly take another no

let take 12,14 a two consecutive even integers

12 = $$2\times 2\times 3$$

14 =$$2\times 7$$

select the highest common factor = 2

so the hcf is 2 only

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