G.C.F, L.C.M, and Divisibility worksheet for grade 6

Number Theory Worksheet
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G.C.F, L.C.M, and Divisibility

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Date:

1. Choose the correct answer:

  • a. The G.C.F of 6 and 5 is
    A. 1 B. 11 C. 30 D. 60
  • b. The number 7,904 is divisible by
    A. 3 B. 4 C. 5 D. 6
  • c. Which of the following are relatively prime numbers?
    A. 4 and 6 B. 8 and 15 C. 8 and 18 D. 8 and 24
  • d. In the opposite Venn diagram: the L.C.M is
    Venn Diagram for question 1d
    A. 0 B. 1 C. 15 D. 8
  • e. The number which its all prime factors are 2,3 and 7 is
    A. 12 B. 42 C. 23 D. 13
  • f. The G.C.F of two relatively prime numbers is
    A. 0 B. 1 C. 2 D. 3

2. Complete the following.

  • a. The number is divisible by 5 if its Ones digit is or .
  • b. The L.C.M of 6 and 9 is .
  • c. is the G.C.F for any two prime numbers.
  • d. In the opposite Venn diagram: the G.C.F is .
    Venn Diagram for question 2d
  • e. The greatest 3-digit number divisible by 2 is .

3. Use Venn diagram to find G.C.F and L.C.M of 12 and 15.

4. A school took 148 students to participate in the trip.

  • Can we distribute the students on 4 buses? and why?
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