Respuesta :
Answer:
2, 7 or 14
Step-by-step explanation:
Prime factorization
56 = 2 × 2 × 2 × 7
70 = 2 × 5 × 7
HCF = 2 × 7 = 14
He can make 2, 7 or 14 centerpieces
The maximum number of centerpieces that can be made by the florist is 14 centerpieces
How to determine the maximum number of centerpieces
The given parameters are:
Roses = 56
Carnations = 70
Take the largest common factor of both numbers
56 = 1 * 2 * 4 * 7
Carnations = 1 * 2 * 5 * 7
The common factors are:
Factor = 1 * 2 * 7
Evaluate
Factor = 14
This means that the maximum number of centerpieces that can be made by the florist is 14
Read more about LCM at:
https://brainly.com/question/16054958
#SPJ2