Question

Find the greatest number that divides 215, 245, 365 leaving a remainder of 5 in each case

Answer 1

Answer:

a=bq+r

use Euclid's division algorithm to find the answer

first find for two no's then the other then repeat the same with the other u, but before that u need to all the no's with 5 so that u find the HCF and then use this method. it is applicable for everything

Answer 2

Answer:

30

Step-by-step explanation:

Subtract remainder from dividend.

215 - 5 = 210

245 - 5 = 240

365- 5 = 360

Now, find the HCF of all 3.

HCF = 30

Therefore greatest number that divides 215, 245, 365 leaving a remainder of 5 in each case = 30.