Fix the Remainder to HCF Mistake

Understand the problem

1 of 3

First, understand the question

Do not start calculating until the given information and the required answer are clear.

Problem

Find the largest number that divides 133,148,133, 148, and 280280 leaving remainders 3,5,3, 5, and 77 respectively.

What are we trying to do?

Find the largest number that can divide all three given numbers while leaving the stated remainder each time.

Build the solution one reason at a time

Read why each action is needed. Then use it to change the mathematical model.

133
leaves remainder 3
exactly divisible number: ?
148
leaves remainder 5
exactly divisible number: ?
280
leaves remainder 7
exactly divisible number: ?
Required: the largest divisor that fits all three conditions\text{Required: the largest divisor that fits all three conditions}
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