Can someone check this for me :
Find the gcf for each of the following groups of numbers: 36,64, and 180
My answer: gcf=4
Find the lcm for each of the following groups of numbers which ever method you wish:8,15, and 20
My answer: Lcm=1
Find two factors of 15 with a difference of 2?
My answer: 3 and 5
Normally, we exclude 1 when listing lcm. In this case, it is wrong. The lcm is 120.
my question is are the other two answers correct or are they wrong as well.
I thnk your right!
Let's go through the answers one by one and determine if they are correct or incorrect.
1. Find the greatest common factor (GCF) for the numbers 36, 64, and 180.
Your answer: GCF = 4
To check if this is correct, we need to find the factors of each number and see if there is a common factor among them.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
By comparing these lists, we can see that the largest common factor among them is indeed 4. Therefore, your answer is correct.
2. Find the least common multiple (LCM) for the numbers 8, 15, and 20.
Your answer: LCM = 1
To check if this is correct, we need to find the multiples of each number and see if there is a common multiple among them.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, ...
Multiples of 20: 20, 40, 60, 80, 100, 120, ...
By comparing these lists, we can see that the smallest common multiple among them is 120. Therefore, your answer of LCM = 1 is incorrect.
3. Find two factors of 15 with a difference of 2.
Your answer: 3 and 5
To check if this is correct, we need to find the factors of 15 and determine if any two of them have a difference of 2.
Factors of 15: 1, 3, 5, 15
By examining these factors, we can see that 3 and 5 are indeed factors of 15, and their difference is 2. Therefore, your answer is correct.
In summary, your first and third answers are correct. However, your second answer for the LCM is incorrect; the correct LCM for 8, 15, and 20 is 120.