LCM or GCF? [Rugby]

Categorize the options into the right categories

Groups:

(a) GCF

,

(b) LCM

• smallest

• every

• greatest

• largest

• groups

• "feels like" multiplication

• "feels like" division

• least

Is this question asking you to identify the LCM or GCF?

There are 14 girls and 21 boys in Ms. Godfrey’s gym class.  To play a certain game, the students must form teams.  Each team must have the same number of boys and girls.  What is the greatest number of teams Ms. Godfrey can make if every student is on a team?

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

As 250 6th grade students entered the auditorium for a True Blue Reward, they were each given a prize.  If every 6th student received a pencil, every 9th student received a notebook, and every 15th student received a hat pass, how many students received both a pencil and a hat pass?

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

Juan and his brother, José, are at The Annual Apple Festival in downtown Hendersonville.  They separate from each other at the Old Courthouse at 1:00 PM, and they agree that they will each meet back at the courthouse from time to time to see whether the other is ready to leave.  Juan checks the courthouse every 15 minutes.  José checks in every 24 minutes.  At what time will they meet at the courthouse again?  

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

Mrs. Peters makes flower arrangements.  She has 36 red carnations, 60 white carnations, and 72 pink carnations.  Each arrangement must have the same number of each color.  What is the greatest number of arrangements she can make if she uses every carnation?

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

Juice comes in packs of 6 and granola bars come in packs of 8.  If there are 24 players on the Rugby soccer team, what is the least number of packs needed so that each player has a drink and granola bar and there are none left over?  

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

Cooper is working a booth at The Annual Apple Festival in downtown Hendersonville.  He has 12 jars of apple butter, 16 apple pies, and 24 apple turnovers.  He wants to place the apple products into the greatest possible number of boxes so that each box has the same number of each kind of food.  How many boxes does he need?

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

In December, there is a string of holiday lights with red, gold, and blue lights in Rugby’s front office. The red lights are set to blink every 12 seconds, the gold lights are set to blink every 16 seconds, and the blue lights are set to blink every 6 seconds. The lights are on an automatic timer that starts each day at 7:00 p.m. and stops at midnight.
After how much time with all 3 lights blink at the exact same time? How many times total will this happen in one day?

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

Two faucets in the Boy’s Bathroom are dripping.  One faucet drips every 21 seconds and the other faucet drips every 9 seconds.  If a drop of water falls from both faucets at the same time, will it take longer than one minute before you see the faucets drip at the same time? Explain.

• LCM

• GCF

Is this question asking you to identify the LCM or GCF?

Mr. Chambers is ordering shirts and hats for his mathletes.  Hats come in packs of 16, and shirts come in packs of 10.  What is the least number of packs each he should order so that each student will have 1 hat and 1 shirt, and none will be left over?

• LCM

• GCF