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For two given numbers, the gcd and lcm are determined by comparing lists of multiples or divisors
Two numbers are given. For these numbers, either the greatest common divisor (gcd) or least common multiple (lcm) have to be determined. The problem generator can be configured to ask only for one of them, or for both in a random fashion.
For this problem type, the straightforward approach to compare
- the lists of divisors for both numbers to look for the greatest number that appears in both lists to determine the greatest common divisor
- the lists of multiples for both numbers to look for the first = least number that appears in both lists to determine the least common multiple
The number range can be chosen, and the number of problems presented is selectable.
Optionally, as a hint, the first few multiples (for the lcm) or divisors (for the gcd) can be given with the problem.
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|Number of problems||1, 2, 3, 4, 5, 6, 7, 8, 9, 10|
|Ask for...||gcd and lcm, gcd, lcm|
|Number range of product||50, 80, 100, 200, 500, 1000|
|Provide first few items of lists||Yes, No|
|Explain lcm and gcd||Yes, No|
|Remark||Description||Name and direct link|
|check for divisors and multiples of a number||Determine whether a number is a factor or multiple of another.||Factor or multiple?|
|find divisors of a number||For a given number, all factors have to be listed.||Factors of a number|
|find multiples||For a given number, list the first n multiples.||Multiples list first n|