Elementary School, Primary School, Junior High School, Middle School, High School.
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.
Download free printable worksheets for this math problem here. The worksheet contains the problems only, the solution sheet includes the answers. Just click on the respective link.
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