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Details for problem "Determine gcd and lcm by comparing multiples & divisors"

Quickname: 4978

Suitable for grades: Grade 5, Grade 6, Grade 7


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.

Topics: Arithmetic, Divisibility

Tags: Division, Multiplication

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Customization options for this problem

ParameterPossible values
Number of problems1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Ask for...gcd and lcm, gcd, lcm
Number range of product50, 80, 100, 200, 500, 1000
Provide first few items of listsYes, No
Explain lcm and gcdYes, No

Similar problems

RemarkDescriptionName and direct link
check for divisors and multiples of a numberDetermine whether a number is a factor or multiple of another.Factor or multiple?
find divisors of a numberFor a given number, all factors have to be listed.Factors of a number
find multiplesFor a given number, list the first n multiples.Multiples list first n

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