GCF and LCM - Grade 6 Learning path

GCF and LCM - Grade 6

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GCF and LCM - Grade 6

This learning path covers greatest common factor and least common multiple concepts for Grade 6 math. Students practice basic calculations, prime factorization, word problems, multi-number problems, and underlying mathematical relationships.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Basic GCF of Two Small Numbers

    Practice finding the greatest common factor of two small numbers. This exercise builds foundational skills in identifying common factors.

    10 minutes

    Open this exercise
  2. 2

    Form 2: Basic LCM of Two Small Numbers

    Practice finding the least common multiple of two small numbers. This exercise helps build foundational understanding of common multiples.

    10 minutes

    Open this exercise
  3. 3

    Form 3: GCF using Prime Factorization

    Calculate the greatest common factor of numbers by using prime factorization. Practice breaking numbers down into prime factors to find their GCF.

    10 minutes

    Open this exercise
  4. 4

    Form 4: LCM using Prime Factorization

    Determine the least common multiple of numbers using prime factorization. Practice using prime factor decompositions to find the LCM efficiently.

    10 minutes

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  5. 5

    Form 5: GCF Word Problems

    Solve real-world word problems that require finding the greatest common factor. Apply GCF concepts to practical scenarios.

    10 minutes

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  6. 6

    Form 6: LCM Word Problems

    Solve word problems that involve finding the least common multiple. Apply LCM concepts to answer practical questions in context.

    10 minutes

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  7. 7

    Form 7: GCF of Three Numbers

    Practice finding the greatest common factor across sets of three numbers. Expand GCF skills beyond two-number comparisons.

    10 minutes

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  8. 8

    Form 8: LCM of Three Numbers

    Practice calculating the least common multiple for sets of three numbers. Extend LCM methods to evaluate three values simultaneously.

    10 minutes

    Open this exercise
  9. 9

    Form 9: Identifying Relatively Prime Numbers

    Identify numbers that are relatively prime. Learn to recognize when numbers share no common factors other than one.

    10 minutes

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  10. 10

    Form 10: Relationship between GCF and LCM

    Explore and apply the mathematical relationship between the greatest common factor and least common multiple of numbers.

    10 minutes

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  11. 11

    Form 11: Distinguishing GCF vs LCM in Context

    Practice determining whether a given context requires finding the greatest common factor or the least common multiple. Strengthen problem-solving skills in context.

    10 minutes

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  12. 12

    Form 12: GCF with Larger Numbers

    Calculate the greatest common factor for larger numerical values. Develop strategies to compute GCF efficiently with bigger numbers.

    10 minutes

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  13. 13

    Form 13: LCM with Larger Numbers

    Determine the least common multiple for larger numbers. Build confidence in working with greater numerical values to find their LCM.

    10 minutes

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  14. 14

    Form 14: Distributive Property and GCF

    Use the greatest common factor alongside the distributive property to express sums of numbers. Practice rewriting numerical expressions using GCF.

    10 minutes

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  15. 15

    Form 15: Comprehensive GCF and LCM Review

    Review core concepts involving greatest common factors and least common multiples. Test your understanding across various problem types and methods.

    10 minutes

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