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AMO 2027 Grades 6-7 SET 20 - Self-study Question 2

AMO · AMO 2027 Grades 6-7 SET 20 - Self-study

Question 2

When 14, 53 and 79 is divided by a whole number X, each gives the same remainder. What is the largest possible value of X?

**Editorial note for this self-study exercise:** X is a positive integer (division by zero is excluded). Use the usual remainder from 0 through X−1. Enter X.