Question

210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed? *

Answer 1

Answer:

You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.

Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.

294 = 2*3*7^2

252 = 2^2 * 3^2 * 7

210 = 2*3*5*7

Greatest common factor = 2*3*7 = 42

The biggest possible number of students to distribuute the cartoons equally is 42

Answer 2

Given : 210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left.

To Find :  biggest possible number of cartons needed

Solution:

Oranges = 210

Apples = 252

Pears = 294

We need to find HCF of  

210 , 252 & 294

210 = 2 * 3 * 5 * 7

252 = 2 * 2 * 3 * 3 * 7

294 = 2 * 3 * 7 * 7  

HCF = 2 * 3 * 7  = 42

biggest possible number  42 in a carton

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