Question

There are 270 butter cookies, 384 milk chocolates and 588 plain cookies. What is the largest number of containers possible so that each container contains the same number of chocolates of each kind?

• A. 6
• B. 7
• C. 8
• D. None

Answer 1

The correct option is A 6

Explanation: Here, we have to find HCF of 270, 384 and 588.

STEP 1: First find the HCF of any two of the given numbers. Here, find HCF of (384, 588) first.

STEP 2: The HCF of the first two numbers which is 12 becomes the divisor and the third number 270 becomes the dividend.

STEP 3: Repeat this division process till the remainder becomes zero. The last divisor is the HCF.Here, 6 is the last divisor.

$\text{Hence, HCF of 270, 384 and 588 is 6. Therefore, we needs 6 containers so that each of them contains}(270÷6=45)45\text{butter cookies,}(384÷6=64)64\text{milk chocolates and}(588÷6=98)\text{plain cookies.}$