Question 96

In the following question, state whether the given statement is true (T) or false (F).
The HCF of two numbers is lesser than the smaller of the two numbers.

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Solution

False
HCF of two numbers is either equal to or less than the smaller of the two numbers.
Example:
(i) HCF of 6 and 12 = 6 (here HCF is equal to the smaller number)
(ii) HCF of 6 and 16 = 2(here the HCF is less than the smaller number)

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Highest Common Factors

Standard VI Mathematics

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Question 96 In the following question, state whether the given statement is true (T) or false (F). The HCF of two numbers is lesser than the smaller of the two numbers.

False HCF of two numbers is either equal to or less than the smaller of the two numbers. Example: (i) HCF of 6 and 12 = 6 (here HCF is equal to the smaller number) (ii) HCF of 6 and 16 = 2(here the HCF is less than the smaller number)

Question 96

In the following question, state whether the given statement is true (T) or false (F).
The HCF of two numbers is lesser than the smaller of the two numbers.

False
HCF of two numbers is either equal to or less than the smaller of the two numbers.
Example:
(i) HCF of 6 and 12 = 6 (here HCF is equal to the smaller number)
(ii) HCF of 6 and 16 = 2(here the HCF is less than the smaller number)