1 and 5.
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These numbers are divided by 5 without remainder, so their common factor must be divided by 5 without remainder aswell. Let's start from 45 stepping over 5 and skipping any unmatching result: not 45, not 40, not 35, not 20 (since none of 45 and 70 divide these without reminder), but it's 15 (which gives us 45/15 = 3 and 70/15 = 5, here both results are round numbers, which gives us 15 as the answer).
35 is not the LCM of 3 and 5, 15 is. LCM means Lowest Common Factor. To find the LCM of 3 and 15 you have to list the multiples: 3, 6, 9, 12, 15, 18, 21 etc. 5, 10, 15, 20, 25, etc. The LCM is the least common number in both the lists, which is 15.
15 and 21 21 and 35
3 and 5 both go into multiples of 15, as both numbers are factors of 15. In mathematical terms, 15 is a multiple of both 3 and 5 because it can be evenly divided by both numbers without leaving a remainder.
The LCM of 2 and 3 is 6. The LCM of 5 and 7 is 35. The LCM of 11 and 19 is 209.
5
3 with a remainder of 15 or 3.4286
If there is a remainder of 8 when they divide into 113, then they must be factors of 113 - 8 = 105, but not factors of 113, and greater than 8: The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105 The factors of 113 are: 1, 113 Thus the 3 numbers which divide 113 with a remainder of 8 are 15, 21, 35, 105 (oops, there are 4 numbers which satisfy the criteria - I never could count...)
All numbers of that kind: 5, 15, 25, 35, 45, 55, 65... 105, 115... and so on
7 is not the greatest common factor (GCF) of 15, 30, and 35 because 7 does not evenly divide into all three numbers. The GCF is the largest number that can divide all three numbers without leaving a remainder, and in this case, the GCF is actually 5 since 5 divides evenly into all three numbers.
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. They are the only numbers that will divide evenly with no remainder into 105.
All numbers that leave a remainder when divided by 35.
Simply enough, divide. Example 1: What is 105/7? Well, since 7 goes into 10 once, remainder 3, and into 35 five times, the answer is 15. Example 2: What is 150/13? We divide 15/13 and get 1, remainder 2. "Bring down" the 2, and we divide 20/13 and get 1, remainder 7. So the answer is 11 7/13.
A factor of a number is any number which the original number can divide into evenly. That is to say, can divide into without leaving a remainder, decimal or fraction. The factors of 15 are: 1, 3, 5 and 15 The factors of 20 are: 1, 2, 4, 5, 10 and 20. The factors of 35 are: 1, 5, 7 and 35.
35.7143
Divide both numbers by 5 changes the ratio to: 7 and 3
105 can be divided evenly by 1, 3, 5, 7, 15, 21, 35, and 105. These are all the factors of 105, meaning they divide into 105 without leaving a remainder. Additionally, 105 can be divided by other numbers that are not factors, but those divisions will result in remainders.