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The HCF of two consecutive even numbers is
  • a)
    1
  • b)
    2
  • c)
    0
  • d)
    3
Correct answer is 'B'. Can you explain this answer?
Most Upvoted Answer
The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer i...
Let's take two consecutive even numbers i.e, 2x and 2x+2.

Method 1 : Factorisation

Now factor both numbers

2 * x and 2 * (x+1). Therefore, the only common factor we get here is one and only 2, which turns out to be HCF itself.

Hence, HCF of two even consecutive number is 2.

Example take 10 and 12 or 4 and 6 HCF always turns out to be 2 as

10=2*5 and 12=2*6


Method 2:

If we calculate through simple division process. Let's say two consecutive even numbers are n and n+2.

If n+2 is divided by n, we get the remainder as 2.

And n is divisible by 2 as it is an even number.

Hence, HCF is 2.
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Community Answer
The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer i...
The HCF of two consecutive even number is always 2 bcoz both the numbers will be divisible by 2. So their HCF will also be 2 bcoz HCF means Highest Common Factor.......
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