Identify the Common Factors (42a^7b^3c)÷56a^8b^10c^7

$42 a^{7} b^{3} c \div 56 a^{8} b^{10} c^{7}$

Step 1

Rewrite the division as a fraction.

$\frac{42 a^{7} b^{3} c}{56 a^{8} b^{10} c^{7}}$

Step 2

Cancel the common factor of $42$ and $56$ .

Factor $14$ out of $42 a^{7} b^{3} c$ .

$\frac{14 (3 a^{7} b^{3} c)}{56 a^{8} b^{10} c^{7}}$

Cancel the common factors.

Factor $14$ out of $56 a^{8} b^{10} c^{7}$ .

$\frac{14 (3 a^{7} b^{3} c)}{14 (4 a^{8} b^{10} c^{7})}$

Cancel the common factor.

$\frac{14 (3 a^{7} b^{3} c)}{14 (4 a^{8} b^{10} c^{7})}$

Rewrite the expression.

$\frac{3 a^{7} b^{3} c}{4 a^{8} b^{10} c^{7}}$

Step 3

Cancel the common factor of $a^{7}$ and $a^{8}$ .

Factor $a^{7}$ out of $3 a^{7} b^{3} c$ .

$\frac{a^{7} (3 b^{3} c)}{4 a^{8} b^{10} c^{7}}$

Cancel the common factors.

Factor $a^{7}$ out of $4 a^{8} b^{10} c^{7}$ .

$\frac{a^{7} (3 b^{3} c)}{a^{7} (4 a b^{10} c^{7})}$

Cancel the common factor.

$\frac{a^{7} (3 b^{3} c)}{a^{7} (4 a b^{10} c^{7})}$

Rewrite the expression.

$\frac{3 b^{3} c}{4 a b^{10} c^{7}}$

Step 4

Cancel the common factor of $b^{3}$ and $b^{10}$ .

Factor $b^{3}$ out of $3 b^{3} c$ .

$\frac{b^{3} (3 c)}{4 a b^{10} c^{7}}$

Cancel the common factors.

Factor $b^{3}$ out of $4 a b^{10} c^{7}$ .

$\frac{b^{3} (3 c)}{b^{3} (4 a b^{7} c^{7})}$

Cancel the common factor.

$\frac{b^{3} (3 c)}{b^{3} (4 a b^{7} c^{7})}$

Rewrite the expression.

$\frac{3 c}{4 a b^{7} c^{7}}$

Step 5

Cancel the common factor of $c$ and $c^{7}$ .

Factor $c$ out of $3 c$ .

$\frac{c \cdot 3}{4 a b^{7} c^{7}}$

Cancel the common factors.

Factor $c$ out of $4 a b^{7} c^{7}$ .

$\frac{c \cdot 3}{c (4 a b^{7} c^{6})}$

Cancel the common factor.

$\frac{c \cdot 3}{c (4 a b^{7} c^{6})}$

Rewrite the expression.

$\frac{3}{4 a b^{7} c^{6}}$

Step 6

Since there are no common prime factors, the only common factor for $\frac{3}{4 a b^{7} c^{6}}$ is $1$ .

$1$

Identify the Common Factors (42a^7b^3c)÷56a^8b^10c^7

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