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Maths · Grade 6 · Set B
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Remember: The greatest common factor is the biggest number that goes into both. The least common multiple is the first number both lists reach.

Greatest common factor, least common multiple

1
Pip packs 8 stars and 12 hearts into matching gift bags. Every bag has the same mix and nothing is left over. What is the most bags?
2
The lists show every factor of 18 and of 30. What is the greatest common factor of 18 and 30?
3
Circle every common factor of 16 and 24.
24683
4
The lists show the first multiples of 6 and of 9. What is the least common multiple of 6 and 9?
5
What is the least common multiple of 6 and 10?
6
The least common multiple of 2 and 5 is 10.
TrueFalse
7
The greatest common factor of 12 and 20 is 2.
TrueFalse
8
What is the greatest common factor of 36 and 48?
1264
9
18 + 30 = 6 × ( + 5)
10
28 + 42 = × (2 + 3)
11
Join each pair of numbers to its greatest common factor.
  1. 19 and 15
  2. 216 and 20
  3. 312 and 30
  4. 410 and 35
  • A4
  • B5
  • C3
  • D6
12
Bus A leaves the station every 8 minutes and bus B every 12 minutes. They leave together now. After how many minutes do they next leave together?
44824
13
A baker has 24 rolls and 36 muffins. She makes the most equal trays, each with the same mix and nothing left over. How many trays?
14
Sensei says the greatest common factor of 10 and 15 is 30. Write how you know he is wrong.
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Answer key · Set B
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14 4 is the biggest number that goes into both 8 and 12. Each bag gets 2 stars and 3 hearts.
26 The factors in both lists are 1, 2, 3 and 6. The greatest of them is 6.
32, 4, 8 2, 4 and 8 go into both 16 and 24. 6 and 3 go into 24 but not into 16.
418 The first number in both lists is 18.
530 Count by 10: 10, 20, 30. The first one that is also a multiple of 6 is 30.
6True The hops of 2 and the hops of 5 both land on 10 for the first time.
7False 2 goes into both, but 4 does too, and 4 is greater. The greatest common factor is 4.
812 12 goes into 36 three times and into 48 four times. 6 and 4 go into both, but they are not the greatest.
93 6 goes into 18 three times and into 30 five times. 6 × (3 + 5) = 48 = 18 + 30.
1014 14 goes into 28 two times and into 42 three times. 14 × (2 + 3) = 70 = 28 + 42.
111-C, 2-A, 3-D, 4-B List the factors of each and pick the biggest one they share.
1224 Count by 12: 12, 24. 24 is the first number that is also a multiple of 8. 48 works too, but it is not the least. 4 is the greatest common factor, not a time they meet.
1312 12 is the greatest number that goes into both 24 and 36. Each tray gets 2 rolls and 3 muffins.
14Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.