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3 years ago

50, 40 What’s the GCF of these numbers

Mathematics

2 answers:

ella [17]3 years ago

5 0

Answer: 10

Step-by-step explanation: To find the greatest common factor or GCF of 50 and 40, we begin by finding all of the factors of each number.

To find the factors of 50, we know that 50 ÷ 1 is 50 so 1 and 50 are factors.

50 ÷ 2 is 25 so 2 and 25 are factors.

We can't divide 50 evenly by 3 or 4 so we know they aren't factors.

50 ÷ 5 = 10 so 5 and 10 are factors.

However, if we continue to divide 50 by 6, 7, 8, and so on, we won't find any new factors. So the factors of 50 are 1, 2, 5, 10, 25, and 50.

Now let's find the factors of 40.

40 ÷ 1 is 40 so 1 and 40 are factors.

40 ÷ 2 is 20 so 2 and 20 are factors.

We can't divide 40 evenly by 3.

40 ÷ 4 is 10 so 4 and 10 are factors.

40 ÷ 5 is 8 so 5 and 8 are factors.

However, if we continue to divide by 6, 7, 8, and so on, we won't find any new factors.

So the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40

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.

Factors of 50 - 1, 2, 5, 10, 25, and 50

Factors of 40 - 1, 2, 4, 5, 8, 10, 20, and 40

Notice that both lists have a 50 as a factor and there is nothing larger than 50 that appears in both lists. So the greatest common factor of 50 and 40 is 10.

dexar [7]3 years ago

3 0

Answer:

Step-by-step explanation:

40=2 x 2 x 2 x 5

50=2 x 5 x 5

therefore, GFC = 2x5

GFC= 10

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Answer: OPTION C.

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It is important to know the following:

Dilation:

Transformation in which the image has the same shape as the pre-image, but the size changes.

Dilation preserves betweenness of points.

Angle measures do not change.

Translation:

Transformation in which the image is the same size and shape as the pre-image.

Translation preserves betweenness of points.

Angle measures do not change.

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Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

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