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  • Pre algebra
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  • Greatest common divisor (GCD)

Greatest common divisor (GCD)

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  • Question 1:
    1 pts
    		Compute:
    $GCD(9,6)=$
  • Question 2:
    1 pts
    		$a$ and $b$ are relatively prime if $GCD(a, b) = 1.$
  • Question 3:
    1 pts
    		Is the following expression true? $$GCD(8,9)=1$$
  • Question 4:
    1 pts
    		Let $a$ and $b$ be whole numbers, not both 0. Then, $$GCD(a,b)\geq 0.$$
  • Question 5:
    2 pts
    		How is called the procedure shown in the picture?
    Euclidean algorithm
    The Sieve of Eratosthenes
    Bezout's identity
    Teorema de Pitagoras
  • Question 6:
    2 pts
    		Use the Euclidean Algorithm, shown on the picture, to compute the greatest common divisor of the numbers $1356$ and$414.$
    $GCD(1356,414)=$
  • Question 7:
    2 pts
    		Compute the greatest common divisor of $a$ and $b$ if $a=2^{2}\cdot 3\cdot 5^{2}$ and $b=3^{2}\cdot 5.$

    $3^{2}\cdot 5$

    $3\cdot 5$

    $3\cdot 5^{2}$

    $3^{0}\cdot 5$

  • Question 8:
    2 pts
    		Compute:
    $GCD(12,16,20,28)=$
  • Question 9:
    3 pts
    		Determine all the values $x$ for which it is $GCD(9,x)=9, 0 \leq x\leq 45.$

    $1,9,18,27,36$

    $0,9,18,27,36$

    $0,9,18,27,36,45$

    $9,18,27,36,45$

  • Question 10:
    3 pts
    		There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards. What is the greatest number of teams possible?
    $32$
    $24$
    $16$
    $8$
  • Question 11:
    3 pts
    		Rafaela is going to plant $63$ tomato plants and $90$ potato plants. She would like to plant the plants in rows where each row has the same number of tomato plants and each row has the same number of potato plants. What is the greatest number of rows she can plant?

    $9$

    $8$

    $7$

    $6$

  • Question 12:
    3 pts
    		Seller Lucy in the flower shop currently has $12$ lilies, $16$ roses, and $32$ chrysanthemums. What is the greatest number of equal bouquets that Lucy can make of that flower and how much chrysanthemum will be in each of the same bouquets?
    Number of bouquets $7$, number of chrysanthemums in each bouquet $5$.
    Number of bouquets $5$, number of chrysanthemums in each bouquet $7$.
    Number of bouquets $4$, number of chrysanthemums in each bouquet $8$.
    Number of bouquets $8$, number of chrysanthemums in each bouquet $4$.

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