Question

find the greatest number which divides 2008 and 2025 leaving a remainder 6 and 7​

Answer 1

Answer:

First subtract the remainder,

2008-6=2002

2025-7=2018

Then find HCF,

2002=2*7*11*13

2018=2*1009

HCF=2

Answer 2

Answer:

2008-6=2002

2025-7=2018

HCF

2 | 2002. 2|2018

7 | 1001. 1009|1009

11 | 143

13| 13.

2002=2, 7 ,11, 13

2018=2, 1009

HCF= 2