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vitfil [10]
3 years ago
9

You are creating a set of three numbers that have a GCF of 9. You have 27 and 54 for two of the numbers. A. What is the GCF of 2

7 and 54? B. Find two numbers that you could add to the set of 27 and 54 such that the GCF is now 9.
Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

A. GCF of both is 27

B. By adding 9 and 18 to the set, the GCF of the four numbers become 9

Step-by-step explanation:

A. The GCF of 27 and 54 is 27

GCF represents greatest common factor. It means the highest number which is both a factor of 27 and also a factor of 54. The highest number in this case is 27.

The factors of 27 are ;

1, 3 , 9 , 27

for 54

1,2,3,6,9,18,27 and 54

So we can clearly see that the highest factor in both case is 27

B. Now , we want to add two numbers that will make the GCF to be 9

What about adding 9 and 18?

Let’s have a look;

using the multiples of each;

9 - 1, 3 and 9

18 - 1, 2, 3 , 6 , 9 and 18

27- 1, 3 , 9 and 27

54- 1, 2, 3 , 6, 9, 18, 27 and 54

We can clearly see here that the highest factor that takes all four numbers into consideration is the number 9

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