Question

find the maximum number of students among whom 182 chocolates and 247 candies can be distributed such that each student gets same number of each. also find the number of chocolates and candies each student gets ​

Answer 1

Answer:

Number of students : 13

Number of chocolates : 14

Number of candles : 19

Step-by-step explanation:

We need to find the HCF of 182 and 247

182 = 2 X 7 X 13

247 = 13 X 19

HCF = 13

So the number of students is 13

Number of chocolates each one will get = ( 182 divided by 13 ) = 14

Number of chocolates each one will get = ( 247 divided by 13 ) = 19

Answer 2

Given: 182 chocolates and 247 candies can be distributed such that each student gets same number of each.

To find: The maximum number of students among whom 182 chocolates and 247 candies can be distributed and the number of chocolates and candies each student gets.

Solution:

In order to find the maximum number of students among whom 182 chocolates and 247 candies can be distributed equally, the HCF of 182 and 247 must be calculated.

The HCF of the two numbers can be calculated by finding their prime factors and checking for the prime factors that are common between them. So, the prime factors of 182 are 2, 7 and 13 and that of 247 are 13 and 19. Hence, the common factor is 13. Thus, the maximum number of students is 13.

Now, the number of chocolates that each student gets is

$\frac{182}{13}= 14$

Similarly, the number of candies that each student gets is calculated as

$\frac{247}{13} = 19$

Therefore, the maximum number of students among whom 182 chocolates and 247 candies can be distributed is 13 and the number of chocolates and candies each student gets is 14 and 19, respectively.