Quickname: 2001

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

Elementary School, Primary School, Junior High School, Middle School, High School.

Compute the GCD step by step with the Euclidian Algorithm.

The tasks is to perform a detailed calculation of the largest common divisor (GCD) of two whole numbers with the Euclidean algorithm. The number space from which the numbers are chosen is adjustable. Also the number of problems can be selected.

To perform the computation, the following steps are repeated in rounds according to the algorithm.

- Determine the quotient and remainder of the larger and the smaller number.
- If the remainder is zero, the GCD has been determined. It is the last quotient.
- Select the divisor of this round as the dividend for the next round. The divisor for the next round will be the remainder of this round.
- Repeat from step one with the new dividend and divisor.

The first problem can be configured as a sample problem, which will be presented with the solution.

Topics: Arithmetic Divisibility Puzzles

Tags: Division Multiplication Rules

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Parameter

Possible values

Number of problems

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Number range

50, 80, 100, 200, 500, 1000

Sample problem with answer

Yes, No

Remark

Description

Name and direct link

Simpler approach to gcd: compare lists of factors to determine gcd

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

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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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