Question

find the greatest number that divides 280,615 and 1270 leaving a remainder of 5,10 and 15 respectively with explanation.

Answer 1

Answer:

5

Step-by-step explanation:

if the greatest number divides 280,615 and 1270 by leaving a remainder of 5,10,15 respectively means it is the HCF of 275,605,1255

275=5*55=5*5*11

605=5*121=5*11*11

1255=5*251

therefore,the highest common factor is 5 and the greatest number that divides 280,615 and 1270 leaving a remainder of 5,10,15 is 5