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34 votes
34 votes
Gind the greatest common factor for the list of terms.
98ab^3, 84a, 140b, 112ab​

User Jason Hernandez
by
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1 Answer

17 votes
17 votes

Answer:

14

Explanation:

You want the greatest common factor of the terms {98ab^3, 84a, 140b, 112ab​}.

Common factors

There are no variables that are common to all terms. 'a' and 'b' are each common to 3 of the 4 terms, but not all.

The greatest common factor of the constants cannot be larger than the smallest difference of the constants. That difference is ...

98 -84 = 112 -98 = 14

Since 14 is a divisor of all of the constants, 14 is the greatest common factor.

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Additional comment

Factoring out the greatest common factor, we have ...

= 14{7ab³, 6a, 10b, 8ab}

User Chris Ruffalo
by
3.1k points