Using Prime Decomposition to Find HCF and LCM (A) WORKSHEET
Suitable for Year groups: Year 8, Year 9, Year 10
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Finding the product of prime numbers of any number, showing information on a venn diagram
Using Prime Decomposition to Find HCF and LCM (A) WORKSHEET DESCRIPTION
Practice using the prime factor decomposition of pairs of numbers to find the HCF and LCM with Venn diagrams in this worksheet. In section A, learners will match numbers to given products of prime factors.
Next, in section B, students use their previous answers and enter the information into pre-drawn Venn diagrams to find the HCF and LCM of pairs of numbers.
Section C consists of six more questions on finding the HCF or LCM of pairs of numbers. This time, students must find the prime factor decomposition of these numbers themselves before drawing up their own Venn diagrams to answer the questions.
