Question

Jordan bought $28$ fruits, $60$ chocolates and $84$ cookies. In a combination of these items, how many maximum number of packages of same type can Jordan prepare?

• A. $4$
• B. $8$
• C. $7$
• D. $15$

Answer 1

The correct option is A $4$

Number of fruits $=28$
Number of chocolates $=60$
Number of cookies $=84$
As each package contains same combination of all the items, the maximum number of such packages will be the GCD of $28,60$ and $84$.
So, by finding GCD using step diagram method we get,


$28=2\times 2\times 7$
$60=2\times 2\times 3\times 5$
$84=2\times 2\times 3\times 7$
GCD is $2\times 2=4$

$\therefore$ Jordan can prepare maximum $4$ packages.