1.05 Problem solving with GCF and LCM
Interactive practice questions
Determine whether the GCF or LCM would be more useful for solving problems relating to the following situations:
Splitting things into smaller sections
GCF
LCM
Arranging something into rows or groups
GCF
LCM
Event that is or will be repeating over and over
GCF
LCM
Purchase or get multiple items in order to have enough
GCF
LCM
Trying to figure out when something will happen again at the same time
GCF
LCM
George and Susie want to find the greatest common factor of $24$24 and $34$34 by listing their factors.
Bob strikes the bass drum every $9$9 beats and the cymbals every $8$8 beats. He wants to know how many beats will pass before he strikes them again at the same time.
Should he calculate the GCF or LCM of these values to solve the problem?
John harvested $52$52 apples and $68$68 oranges from his orchard. He wants to group the fruits together in baskets to make identical packs to sell in the market.
What is the greatest number of baskets he can use?