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Dot arranges flowers into vases of roses and daisies. If there are 100 roses and 60 daises. what is the greatest number number of flowers in each group?



Answer :

CintiaSalazar

Taking into account the greatest common divisor, the greatest number of flowers in each group is 20.

Greatest common divisor

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time.

To calculate the greatest common multiple, follow these steps:

  • Decompose each number into prime factors (numbers that are only divisible by themselves or by the number 1).
  • Next, the factors common to the numbers are chosen.
  • Next, in each of the commons, the factor with the smallest exponent is chosen.
  • Finally, the chosen factors are multiplied.

In summary, the common factors (those that are repeated) are multiplied with their smallest exponent.

Greatest number of flowers in each group

In this case, there are 100 roses and 60 daises. To calculate the greatest number of flowers in each group, you have to calculate greatest common divisor.

Decomposing each number into prime factors:

  • 100= 2×2×5×5= 2²×5²
  • 60= 2×2×3×5= 2²×3×5

The greatest common divisor between 60 and 100 is calculated as 2²×5, which results 20.

This means that the greatest number of flowers in each group is 20.

Learn more about greatest common divisor:

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