First let's find the GCF of 27, 36, and 72: -->Find the factors of each number: 27: 1, 3, 9, 27 36: 1, 2, 3, 4, 9, 12, 18, 36 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 -->Now look for the factors they have in common. 1, 3, and 9 -->Now see which one is the biggest number in value 9 --> So therefore, 9 is the GCF
Now let's find the LCM of 7, 4, 10, and 12 -->Start listing all the multiples of of each number 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 420 7: 7, 14, 21, 28, 35, 42, 49, 56, 64, 70... 420 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120... 420 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... 420 (sorry got bored of typing so I fast forwarded at the '...'s) --> The least number in value that they have in common is the LCM of those numbers The LCM is 420
*Just saying that took forever to do that LCM part but not way too long thank goodness :p
LCM= 420 When you list the numbers and their multiples, you keep on listing it until you get a same #. GCF= 9 The GCF is 9. Try the birthday cake method- :0
First, put all the #s together and organized on a rectangular box.
Then, see what goes into all of the #s. Write that # down on the left side of the "cake" (the box). Keep on doing it until their is no common # that goes into them both.
You then add all of the #s that are on the side of the birthday cake.
*If that is the only # that goes into the #s, it is just that #.
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees