Question

Find the largest number which divides 1343 and 8593 leaving reminder 9 in each case​

Answer 1

Answer:

58

Step-by-step explanation:

Given :  Number which divides 1343 and 8593 leaving 9 in each case

To find : Largest number

Solution:

Let say Largest number N which divides 1343 and 8593 leaving 9 in each case ​

=> 1343 = AN + 9

  8593 = BN +  9

=> AN =  1334

   BN =   8584

N is largest hence N would be the HCF of  1334  & 8584  

8584  = 1334 * 6  + 580

1334 = 580 * 2  +  174

580  = 174 * 3    +  58

174  = 58  * 3

58 is the HCF

58 is the Number

1343 =  58 * 23  + 9

8593 = 58 *  148 + 9  

58 is the  largest number which divides 1343 and 8593 leaving 9 in each case