Math worksheets  dw-Aufgaben Logo
Custom math worksheets at your fingertips 
 

Advertisement

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

Quickname: 4978

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

Summary

For two given numbers, the gcd and lcm are determined by comparing lists of multiples or divisors

Examples


Description

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

Free worksheets with solution sheets for download

Download free worksheets for this math problem here. There is a second sheet with the solutions. Just click on the respective link.

If you can not see the solution sheets for download, they may be filtered out by an ad blocker that you may have installed. If this is the case, please allow ads for this page and reload the page. The solution sheets will then reappear.

With a free initial credit, you can start creating your own math worksheets in a few minutes.

It does not cost anything to try! Register here, to create custom worksheets now!

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



Deutsche Version dieser Aufgabe
These informational pages with samples describe math problems that can be combined on custom math worksheets with solutions for home and school use.
Please visit the dw math main page for more information!
Privacy Policy and Imprint
Deutsche Seiten