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Maths · Grade 6 · Set C
Bigger Numbers, Two Steps
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C
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Goal: 15 min
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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
A teacher has 36 pencils and 54 erasers. She makes the most identical kits, with nothing left over. How many kits?
2
How many erasers go in one kit?
3
The lists show every factor of 42 and of 56. What is the greatest common factor of 42 and 56?
4
Which pair of numbers has a greatest common factor of 1?
8 and 129 and 166 and 15
5
The lists show the first multiples of 12 and of 18. What is the least common multiple of 12 and 18?
6
What is the least common multiple of 8 and 14?
7
Bus A leaves every 10 minutes and bus B every 15 minutes. They both leave at 8:00. When do they next leave together?
8:258:309:00
8
54 + 90 = × (3 + 5)
9
Because 7 goes into 28 and into 35, 28 + 35 = 7 × (4 + 5).
TrueFalse
10
The least common multiple of 6 and 15 is 90.
TrueFalse
11
Join each to its answer.
  1. 1greatest common factor of 20 and 50
  2. 2least common multiple of 20 and 50
  3. 3greatest common factor of 18 and 24
  4. 4least common multiple of 18 and 24
  • A10
  • B6
  • C72
  • D100
12
Circle every common multiple of 4 and 6 that is less than 40.
1812302436
13
Write how you know the greatest common factor of 15 and 40 is 5 and not 10.
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Answer key · Set C
Bigger Numbers, Two Steps
118 18 is the greatest number that goes into both 36 and 54.
23 54 erasers shared by 18 kits: 54 ÷ 18 = 3. Each kit also gets 2 pencils.
314 The factors in both lists are 1, 2, 7 and 14. The greatest of them is 14.
49 and 16 9 and 16 share only 1. 8 and 12 share 4, and 6 and 15 share 3.
536 The first number in both lists is 36.
656 Count by 14: 14, 28, 42, 56. The first one that is also a multiple of 8 is 56.
78:30 Count by 15: 15, 30. 30 is the first number that is also a multiple of 10, so it is 8:30. 9:00 is a common multiple, but not the least.
818 18 goes into 54 three times and into 90 five times. 18 × (3 + 5) = 144 = 54 + 90.
9True 28 ÷ 7 = 4 and 35 ÷ 7 = 5. 7 × 9 = 63 = 28 + 35.
10False 90 is a multiple of both, but 30 is too and it is first: 6, 12, 18, 24, 30 and 15, 30.
111-A, 2-D, 3-B, 4-C Factors go into the numbers, so they are small. Multiples are made from the numbers, so they are big.
1212, 24, 36 12, 24 and 36 are in both lists. 18 and 30 are multiples of 6 but not of 4.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.