Question

If the HCF of two mmbers is 17 and LCM is 1309, which of the given options could be one of the two numbers ?
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Answer 1

Step-by-step explanation:

119 is the answer for the given question

Answer 2

Given :  HCF of two numbers is 17 and LCM is 1309,

To Find :  what could be one of the two numbers

Solution:

 HCF of two numbers is 17

Hence two numbers are  

17a  and 17b  where a , b are co prime numbers

HCF * LCM  =  Product of numbers

=> 17 * 1309 = 17a * 17b

=> 77 = a * b

77 = 1 * 77 = 7  * 11

a = 1 , 7 , 11 , 77

17a  = 17 , 119  , 187 , 1309

Hence one of the number can be

17 , 119 , 187 , 1309

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