HCF and LCM - Product of Prime Factors using Venn Diagram – Exercise 1

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Presentation transcript:

HCF and LCM - Product of Prime Factors using Venn Diagram – Exercise 1 Silent Teacher Intelligent Practice Narration Your Turn 24 36 2 2 2 3 3 Practice

Worked Example Your Turn 24 =2 x 2 x 2 x 3 24 40 40 = 2 x 2 x 2 x 5 24 = 2 x 2 x 2 x 3 36 =2 x 2 x 3 x 3 2 2 3 24 36 2 3 Graeme.Mitchinson@excelsiornewcastle.org.uk

24 = 2 x 2 x 2 x 3 48 = 2 x 2 x 2 x 2 x 3 24 = 2 x 2 x 2 x 3 24 48 3) 1) 32 = 2 x 2 x 2 x 2 x 2 24 32 54 = 2 x 3 x 3 x 3 24 = 2 x 2 x 2 x 3 24 54 4) 72 = 2 x 2 x 2 x 3 x 3 24 = 2 x 2 x 2 x 3 24 72 2) Graeme.Mitchinson@excelsiornewcastle.org.uk

32 = 2 x 2 x 2 x 2 x 2 24 = 2 x 2 x 2 x 3 24 32 1) 2 3 48 = 2 x 2 x 2 x 2 x 3 24 = 2 x 2 x 2 x 3 24 48 3) 3 2 54 = 2 x 3 x 3 x 3 24 = 2 x 2 x 2 x 3 24 54 2 3 4) 72 = 2 x 2 x 2 x 3 x 3 24 = 2 x 2 x 2 x 3 24 72 2 3 2) Graeme.Mitchinson@excelsiornewcastle.org.uk

HCF and LCM - Product of Prime Factors using Venn Diagram – Exercise 2 Silent Teacher Intelligent Practice Narration Your Turn 24 36 2 2 2 3 3 Practice

Worked Example Your Turn 24 =2 x 2 x 2 x 3 40 = 2 x 2 x 2 x 5 24 = 2 x 2 x 2 x 3 24 40 36 =2 x 2 x 3 x 3 2 2 3 24 36 HCF = 2 x 2 x 3 =12 2 3 LCM = 2 x 2 x 2 x 3 x 3 = 72 Graeme.Mitchinson@excelsiornewcastle.org.uk

24 = 2 x 2 x 2 x 3 48 = 2 x 2 x 2 x 2 x 3 24 = 2 x 2 x 2 x 3 24 48 3) 1) 32 = 2 x 2 x 2 x 2 x 2 24 32 54 = 2 x 3 x 3 x 3 24 = 2 x 2 x 2 x 3 24 54 4) 72 = 2 x 2 x 2 x 3 x 3 24 = 2 x 2 x 2 x 3 24 72 2) Graeme.Mitchinson@excelsiornewcastle.org.uk

144 = 2 x 2 x 2 x 2 x 3 x 3 200 = 2 x 2 x 2 x 5 x 5 240 = 2 x 2 x 2 x 2 x 3 x 5 240 200 7) 5) 288 = 2 x 2 x 2 x 2 x 2 x 3 x 3 144 288 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3 144 = 2 x 2 x 2 x 2 x 3 x 3 144 432 8) 1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 240 = 2 x 2 x 2 x 2 x 3 x 5 240 1800 6) Graeme.Mitchinson@excelsiornewcastle.org.uk

32 = 2 x 2 x 2 x 2 x 2 24 = 2 x 2 x 2 x 3 24 32 1) 2 3 24 = 2 x 2 x 2 x 3 3) 48 = 2 x 2 x 2 x 2 x 3 24 48 2 2 2 2 3 HCF = 2 x 2 x 2 = 8 HCF = 2 x 2 x 2 x 3 = 24 LCM = 2 x 2 x 2 x 2 x 2 x 3 = 96 LCM = 2 x 2 x 2 x 2 x 3 = 48 54 = 2 x 3 x 3 x 3 24 = 2 x 2 x 2 x 3 24 54 2 3 72 = 2 x 2 x 2 x 3 x 3 24 = 2 x 2 x 2 x 3 24 72 2) 4) 2 2 2 3 3 HCF = 2 x 2 x 2 x 3 = 24 HCF = 2 x 3 = 6 LCM = 2 x 2 x 2 x 3 x 3 x 3 = 216 LCM = 2 x 2 x 2 x 3 x 3 = 72 Graeme.Mitchinson@excelsiornewcastle.org.uk

200 = 2 x 2 x 2 x 5 x 5 240 = 2 x 2 x 2 x 2 x 3 x 5 240 200 7) 144 = 2 x 2 x 2 x 2 x 3 x 3 5) 288 = 2 x 2 x 2 x 2 x 2 x 3 x 3 144 288 2 2 2 2 5 2 3 2 2 5 2 2 3 3 HCF = 2 x 2 x 2 x 5= 40 LCM = 2 x 2 x 2 x 2 x 3 x 5 x 5 = 1200 HCF = 2 x 2 x 2 x 2 x 3 x 3= 144 LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288 8) 1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 240 = 2 x 2 x 2 x 2 x 3 x 5 240 1800 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3 144 = 2 x 2 x 2 x 2 x 3 x 3 144 432 6) 2 2 3 2 3 2 2 3 5 5 HCF = 2 x 2 x 2 x 3 x 5= 120 HCF = 2 x 2 x 2 x 2 x 3 x 3 = 144 LCM = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600 LCM = 2 x 2 x 2 x 2 x 3 x 3 x 3 = 432 Graeme.Mitchinson@excelsiornewcastle.org.uk