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Given HCF & LCM - Find Possible Numbers WORKSHEET
Suitable for Grades: 6th Grade
CCSS: 6.NS.B.4
CCSS Description: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Given HCF & LCM - Find Possible Numbers WORKSHEET DESCRIPTION
Challenge students with a series of ‘reverse’ highest common factor (HCF) and lowest common multiple (LCM) problems.
Learners begin by using Venn diagrams to find the HCF and LCM of given number pairs, then progress to finding a missing number when the HCF, LCM, and one value are provided. Section B introduces open-ended tasks where pupils create their own pairs of numbers to meet specified HCF and LCM conditions. Section C extends the challenge to algebraic expressions, applying the same reasoning about factors and multiples with variables as well as numbers.
This steady progression from straightforward numerical cases to algebraic reasoning develops both fluency and problem-solving skills while deepening understanding of the relationships between factors, multiples, and products.
Learners begin by using Venn diagrams to find the HCF and LCM of given number pairs, then progress to finding a missing number when the HCF, LCM, and one value are provided. Section B introduces open-ended tasks where pupils create their own pairs of numbers to meet specified HCF and LCM conditions. Section C extends the challenge to algebraic expressions, applying the same reasoning about factors and multiples with variables as well as numbers.
This steady progression from straightforward numerical cases to algebraic reasoning develops both fluency and problem-solving skills while deepening understanding of the relationships between factors, multiples, and products.
All worksheets are created by the team of experienced teachers at Cazoom Math.
Frequently Asked Questions
This given hcf & lcm - find possible numbers worksheet is designed for students in 6th Grade and aligns with Common Core State Standards.