Warning: implode(): Invalid arguments passed in /www/wwwroot/jobquiz.info/mdiscuss.php on line 336 The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: ?->(Show Answer!)
1. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Ask Your Doubts Here
Comments
By: guest on 01 Jun 2017 05.48 pm
Let the numbers 13a and 13b. Then, 13a x 13b = 2028 ab = 12. Now, the co-primes with product 12 are (1, 12) and (3, 4). [Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ] So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4). Clearly, there are 2 such pairs.