Real NumbersStep 1 of 3
Question
Find the largest number that divides 176, 194, and 297 leaving remainders 6, 7, and 8 respectively.
176
remainder 6
exact multiple: ?
194
remainder 7
exact multiple: ?
297
remainder 8
exact multiple: ?
Find the largest divisor common to all three
Which three numbers must the required divisor divide exactly?
What you will learn
Translate a remainder condition into exact multiples, then use prime factors to find the greatest possible divisor.
Common mistake to avoid
Taking the HCF of the original numbers ignores the different remainders and solves the wrong problem.
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