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Highest Common Factor HCF

Highest Common Factor HCF. Prime Number. Prime Number – An integer whose only factors are 1 and itself 2, 3, 5, 7,11, 13, 17, 19. Prime Factor Tree for 60. 60. Write 60 at the top of the page. 30. 2. 60 = prime number 2 x 30. 15. 2. 30 = prime number 2 x 15. 3. 5.

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Highest Common Factor HCF

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  1. Highest Common Factor HCF

  2. Prime Number Prime Number – An integer whose only factors are 1 and itself 2, 3, 5, 7,11, 13, 17, 19

  3. Prime Factor Tree for 60 60 Write 60 at the top of the page 30 2 60 = prime number 2 x 30 15 2 30 = prime number 2 x 15 3 5 15 = prime number 3 x prime number 5 60 is all the prime numbers 2 x 2 x 3 x 5 multiplied together

  4. Draw factor trees for: 24 and 60

  5. FACTOR TREES 60 24 15 4 4 6 2 2 3 5 2 2 2 3 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5

  6. Highest Common Factor 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 HCF = 2 x 2 x 3 = 12

  7. Find the HCF for 16 and 30

  8. FACTOR TREES 30 16 15 2 4 4 3 5 2 2 2 2 16 = 2 x 2 x 2 x 2 30 = 2 x 3 x 5

  9. Highest Common Factor 16 = 2 x 2 x 2 x 2 30 = 2 x 3 x 5 HCF = 2

  10. Find the Highest Common Factors • 30 and 45 • 45 and 20 • 40 and 80 • 36 and 24 • 32 and 16 HCF = 15 HCF = 5 HCF = 40 HCF = 11 HCF = 16

  11. Complete Minute Glass Activity Complete the minute glass activity

  12. Lowest Common Multiple LCM

  13. Multiple Multiple of 5 5, 10, 15, 20, 25, 30 .... Multiple of 8 8, 16, 24, 32, 40, 48 ..... Multiple of 42 42, 84, 126, 168, 210 ...

  14. The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers.

  15. Lowest Common Multiple 24, 48, 72, 96, 120, 144,…. 60, 120, 180, 240, 300,....

  16. Find the lowest common multiple of 4 and 18 4, 8, 12, 16, 20, 24, 28, 32, 36, 40……. 18, 36, 54, 72……. LCM = 36

  17. Find the Lowest Common Multiple LCM = 30 LCM = 36 LCM = 24 LCM = 36 LCM = 240 15 and 6 9 and 12 24 and 6 4 and 18 15 and 16

  18. Complete Minute Glass Activity Complete the minute glass activity

  19. Venn Diagram HCF is the region of intersection 2 x 2 x 3 = 12 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 60 24 2 2 5 2 LCM is all the numbers in the circles multiplied together 2 x 2 x 2 x 3 x 5=120 3 HCF = 2 x 2 x 3 = 12 LCM = 2 x 2 x 2 x 3 x 5 = 120

  20. Find the HCF and LCM of the following: • 6 and 15 • 20 and 30 • 14 and 42 • 24, 30 and 54 • Answers: • HCF = 3, LCM = 30 • HCF = 10, LCM = 60 • HCF = 14, LCM = 42 • HCF = 6, LCM = 1080

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