Find Greatest Common Divisor of 18, 40, 360 and 14, using prime factorization.

Answer

The GCD of given numbers is 2.

Explanation

Step 1 : Find prime factorization of each number.

18 = 40 = 360 = 14 = 2 \cdot 3 \cdot 3 2 \cdot 2 \cdot 2 \cdot 5 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 2 \cdot 7

(view steps on how to factor 18, 40, 360 and 14. )

Step 2 : Put a box around factors that are common for all numbers:

18 = 40 = 360 = 14 = 2 \cdot 3 \cdot 3 2 \cdot 2 \cdot 2 \cdot 5 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5 2 \cdot 7

Step 3 : Multiply the boxed numbers together:

GC D = 2

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