Find the largest number with which when 394 and 658 are divided, they leave remainders of 1 and 3, respectively.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 131
Concept Used :
The highest number that divide any two numbers is called its HCF.
Now we need to find the largest number that divides 394 and 658 leaving the remainders 1 and 3 respectively.
i.e. we need to find HCF of (394 - 1) and (658 - 3)
HCF of (393 and 655) = 131.
Hence the required largest number is 131.