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  • Which of the following numbers are co-prime a 18 and 35 b 15 and 37 c 30 and 415 d 17 and 68 e 216 and 215 f 81 and 16

5. Which of the following numbers are co-prime?
(a) 18 and 35     (b) 15 and 37         (c) 30 and 415
(d) 17 and 68     (e) 216 and 215     (f) 81 and 16

Answers (1)

best_answer

(a) 18 and 35 

Factors of 18=1,2,3,6,9,18

 Factors of 35=1,5,7,35 

Common factor =1 

Therefore, the given two numbers are co-prime.  

 

(b)15 and 37 

Factors of 15=1,3,5,15 

Factors of 37=1,37 

Common factors =1 

Therefore, the given two numbers are co-prime. 

 

(c) 30 and 415

Factors of 30=1,2,3,5,6,10,15,30 

Factors of 415=1,5,83,415 

Common factors =1,5 

As these numbers have a common factor other than 1, the given two numbers are non co-prime.  

 

(d) 17 and 68

Factors of 17=1,17

 Factors of 68=1,2,4,17,34,68 

Common factors =1,17 

 As these numbers have a common factor other than 1, the given two numbers are non co-prime.  

 

(e) 216 and 215

 Factors of 216=1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

 Factors of 215=1,5,43,215 

Common factors =1

 Therefore, the given two numbers are co-prime.  

 

(f) 81 and 16

 Factors of 81=1,3,9,27,81 

Factors of 16=1,2,4,8,16 

Common factors =1

 Therefore, the given two numbers are co-prime

Posted by

Pankaj Sanodiya

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