What is the greatest common factor of 8 and 18?
1 answer:
Answer: 2
Step-by-step explanation: To find the greatest common factor or GCF of 8 and 18, we begin by finding all of the factors of each number.
To find the factors of 8, we know that 8 ÷ 1 is 8 so 1 and 8 are factors.
8 ÷ 2 is 4 so 2 and 4 are factors.
However, if we continue to divide 8 by 3, 4, 5, and so on, we won't find any new factors. So the factors of 8 are 1, 2, 4, and 8.
Now let's find the factors of 18.
18 ÷ 1 is 18 so 1 and 18 are factors.
18 ÷ 2 is 9 so 2 and 9 are factors.
18 ÷ 3 is 6 so 3 and 6 are factors.
However, if we continue to divide by 4, 5, 6, and so on, we won't find any new factors. So the factors of 18 are 1, 2, 3, 6, 9, and 18.
Now that we have our list of factors, to find the greatest common factor, we simply find the largest number that is shared by the two lists.
Notice that our lists share a 1 but the largest number they share is a <em>2</em><em>.</em>
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So the greatest common factor or <em>gcf</em> of 8 and 18 is 2.
I have also shown my work on the whiteboard.
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Answer:
3 times more.
Step-by-step explanation:
The odds of landing a dart in any of the circles correspond to the surface area of the circle.
Calculate the surface area of both circles:
The formula for the area of a circle is .
- inner circle:
- for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area:
Calculating greater chance:
Divide the larger area by the smaller area:
That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.