a.
To find the Greatest common factor (GCF).
a.
Answer to Problem 3ST
The greatest common factor is
Explanation of Solution
Given: The integers is ,
Concept Used: Greatest common factor (GCF).
The Greatest common factor (GCF) of two or more integers is the greatest integer that is a factor of each.
Calculation: The Greatest common factor (GCF) is obtained as,
The GCF of
Compare the power of each variable occurring in both monominals. Use the power with the least exponents.
Compare
Compare
Hence, the greatest common factor is
b.
To find the least common multiple (LCM).
b.
Answer to Problem 3ST
The least common multiple
Explanation of Solution
Given: The integers is ,
Concept Used: Least common multiple (LCM) The least common multiple (LCM) of two or more integers is the least positive integer having each as a factor.
Calculation: The least common multiple (LCM) is obtained as,
The LCM of
Compare the power of each variable occurring in either monominal. Use the power with the greatest exponents.
Compare
Compare
Use
Hence, the least common multiple
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Algebra and Trigonometry: Structure and Method, Book 2
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