Find the HCF of (4315 − 1) and (425 − 1)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1023
(4315-1) and (425 - 1)
HCF of (am - 1) and (an - 1) is (aHCF(m,n) - 1).
HCF(315, 25) = 5
According to the concept,
= (4HCF(315, 25) - 1)
= HCF {(4315 - 1), (425 - 1)}
= (45 − 1)
= 1024 - 1
= 1023
Hence, The Required value is 1023.