Respuesta :
Answer:
Don't take my word for this but I think the max groups he can do is 16 because that is the lowest amount of marbles.
Step-by-step explanation:
The greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 4.
What is GCF (greatest common factor)?
GCF or greatest common factor is the common number which all the term has in a group of terms. It is the number which can divide each number of the group.
John has 24 blue, 96 green, 16 gray, 16 red and 32 white marbles. He wants to place them in identical groups without any marbles left over.
To find such identical groups, we have to find the greatest common factor of all these numbers. The factors of all the numbers are,
- 24=2×2×2×3
- 96=2×2×2×2×2×3
- 16=2×2×2×2
- 16=2×2×2×2
- 32=2×2×2×2×2
Here, the 2×2×2 is the common factor which is appears in all the terms.
[tex]2\times2\times2=8[/tex]
Thus, the greatest number of groups which John can make with marbles in order to place them in identical groups without any marbles left over is 8.
Learn more about the GCF here;
https://brainly.com/question/219464
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