Question
Download Solution PDFWhat is the largest number which can divide 187, 233 and 279, leaving the same remainder in each case?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFData:
Numbers: 187, 233, 279
Concept:
The largest number that can divide three numbers leaving the same remainder is the greatest common divisor (GCD) of the differences between the numbers.
Solution:
Step 1: Find the differences between the numbers:
⇒ 233 - 187 = 46, 279 - 233 = 46
Step 2: Find the GCD of the differences:
⇒ GCD(46, 46) = 46
Hence, the largest number which can divide 187, 233 and 279, leaving the same remainder in each case is 46.
Last updated on Jun 30, 2025
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