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Using Prime Decomposition to Find HCF and LCM (A) Worksheet

Suitable for Year groups: 10, 8, 9
GCSE Tier:
Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Finding product of prime numbers of any number, showing information on a venn diagram
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Prerequisite knowledge: Finding 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.

related to Using Prime Decomposition to Find HCF and LCM (A) worksheet:

Prime Number Maze

Factors and Primes

Using Prime Decomposition to Find HCF and LCM (B)

Prime Factor Decomposition Usign Factor Trees

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