The HCF of two even numbers is always 1.

True

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False

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Solution

The correct option is B False
HCF of $2$ even number

Say, $2$ and $4$

$2 = 1 \times 2$
$4 = 2 \times 2$

HCF $= 2 \neq 1$

False

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Similar questions

Q. Write 'T' for true and 'F' for false statement.
(i) Every prime numbner is odd.
(ii) Every even number is composite.
(iii) The sum of two odd numbers is always odd.
(iv) The sum of two even numbers is always even.
(v) The HCF of two given numbers is always a factor is their LCM.

Q. The HCF of two or more prime numbers is always __________

Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

Q. HCF of two consecutive even numbers is _____.

Q. HCF of two numbers is always a factor of their LCM (True/False).

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The HCF of two even numbers is always 1.

The correct option is B FalseHCF of 2 even number Say, 2 and 4 2=1×2 4=2×2 HCF =2≠1 False

The correct option is B False
HCF of $2$ even number

Say, $2$ and $4$

$2 = 1 \times 2$
$4 = 2 \times 2$

HCF $= 2 \neq 1$

False