What is the largest number that divides 245 and 1029 leaving remainder 5
Answers
Answered by
2
required number=H.C.F OF (245-5) AND (1029-5)
H.C.F. OF 245-5 i.e. 240=2^4 * 3 * 5
H.C.F. OF 1029-5 i.e. 1024=2^10
THEREFORE ,H.C.F OF 1024 AND 240=2 * 2* 2 * 2=16
hence the largest no. that divides 245 and 1029 leaving remainder 5 in each case is 16
H.C.F. OF 245-5 i.e. 240=2^4 * 3 * 5
H.C.F. OF 1029-5 i.e. 1024=2^10
THEREFORE ,H.C.F OF 1024 AND 240=2 * 2* 2 * 2=16
hence the largest no. that divides 245 and 1029 leaving remainder 5 in each case is 16
Similar questions