Quickname: 4978

Suitable for K-12 grades: Grade 5 Grade 6 Grade 7

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.

Topics: Arithmetic Divisibility

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Parameter

Possible values

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.

Application and detailed computational steps for Euclidean Algorithm

Compute the GCD step by step with the Euclidian Algorithm.

Is also available for the lcm with prime factorization approach

The lcm is to be derived for two given numbers.

Name

Title

Description

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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