Question

find the HCF of 60 and 405 and express it in the form 60q + 405r.​

Answer 1

Step-by-step explanation:

60 & 405

To find : HCF of 60 and 405

Solution:

HCF of 60 * 405

405 = 60* 6 + 45

60 = 45 * 1 + 15

45 = 15 * 3

15 is the HCF

405 = 60* 6 + 45

putting 45 = 60 - 15

=> 405 = 60* 6 + 60 - 15

=> 405 = 60 * (6 + 1) - 15

=> 15 = 60 * 7 - 405

=> 15 = 60 * 7 + 405 *(-1)

q = 7 & r = - 1

Answer 2

Answer:

Step-by-step explanation:

Given :    60 &  405

To find : HCF of 60 and 405

Solution:

HCF of 60 * 405

405 = 60* 6  + 45

60  = 45 *  1  +  15

45 =  15  *  3

15 is the HCF

405 = 60* 6  + 45

putting 45 =  60 - 15

405 = 60* 6  + 60 - 15

405  = 60 * (6 + 1) - 15

15 =    60 * 7  - 405  

15 =  60 * 7 +  405 *(-1)

q = 7   & r  = - 1