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
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.
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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.
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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.
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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.
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5
Form 5: GCF Word Problems
Solve real-world word problems that require finding the greatest common factor. Apply GCF concepts to practical scenarios.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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