Chapter 11: Q. 8 QC (page 667)

Find the GCF of each pair of monomials.
$60 r^{2}, 45 r^{3}$

Short Answer

Expert verified

The GCF of the given pair of monomials is $15 r^{2}$ .

Step by step solution

Step 1. Define greatest common factor.

Greatest common factor is the product of common prime factors of two or more whole numbers. It is a greatest number that is factor of both numbers.

Step 2. Factor each number.

Factor each number and write all powers of variables as products.

$\begin{matrix} 60 r^{2} = 2 \cdot 2 \cdot 3 \cdot 5 \cdot r \cdot r \\ 45 r^{3} = 3 \cdot 3 \cdot 5 \cdot r \cdot r \cdot r \end{matrix}$

Step 3. Find the greatest common factor.

Combine common prime factors to find greatest common factor.

$3 \cdot 5 \cdot r \cdot r = 15 r^{2}$

Therefore, the GCF of the given pair of monomials is $15 r^{2}$ .

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Find the GCF of each pair of monomials.
$60 r^{2}, 45 r^{3}$

Short Answer

Step by step solution

Step 1. Define greatest common factor.

Step 2. Factor each number.

Step 3. Find the greatest common factor.

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Find the GCF of each pair of monomials.60r2,45r3

Short Answer

Step by step solution

Step 1. Define greatest common factor.

Step 2. Factor each number.

Step 3. Find the greatest common factor.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Logic and Functions

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the GCF of each pair of monomials.
$60 r^{2}, 45 r^{3}$