Math, asked by amajeed8818, 1 year ago

hcf of two numbers is 6 times less than their lcm if one number is 6 find other

Answers

Answered by JinKazama1
5
Assuming other number is natural number.

Steps:
1 ) Let the HCF be 'x'.
According to question,
Then, the LCM becomes '6x'.
Let the other number be 'n'.

2) We know that,
Product of two Numbers =HCF * LCM of both
 =  > 6  \times n = x \times 6x \\  =  > 6n = 6 {x}^{2}  \\  =  > n =  {x}^{2}


Therefore, other number is square of HCF of two numbers .
If HCF is 1 , other number is 1 :
If HCF is 2, other number is 4:
This way Other number varies with HCF of given numbers.
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