Q&A for How to Find the Greatest Common Divisor of Two Integers

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How do I find the gcd of three integers?

Donagan

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Find all of the divisors of each of the integers, and note the largest one that's common to all three.

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How do I round off 93,678,563 to the nearest 10,000?

Donagan

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Look at the digit in the 1,000's place: it's 8, so you round up to 93,680,000.

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What is a multiplicative inverse?

Donagan

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A multiplicative inverse is the reciprocal of a number.

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Why should I drop the negative sign of a negative integer?

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It depends on what the question asks. If you're adding, you forget positives and negatives, choose the greater number, and then subtract the other number from the former. The answer has whatever sign the greater number has. If you have 2 negative signs when you're adding or subtracting(say you have this 5 - neg. 5) then you change that number into a positive (5+5). Multiplying and dividing is different. Say this is your question: 5 x -7 x -6. There are two negatives and one positive, so the answer is negative, but you solve it like there are no signs. If there were to be an equal number of positives and negatives, you would go with positive always.

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What's the GCD of infinity and minus-infinity?

Donagan

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Neither infinity nor minus-infinity is divisible by any finite number.

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What's the greatest common factor of 15 and 20?

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The greatest common factor of 15 and 20 is equal to 5 because it's the greatest number that can go evenly in 15 and 20. See How to Find the Greatest Common Factor for more help.

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