210 Oranges, 252 apples and 294 pears equally packed in cartons
so that no fruit is left. What is the
biggest possible number of cartoon needed?
Answers
Step-by-step explanation:
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 cartoons distribuuted is 42
Given:
Total number of oranges = 210
Total number of apples = 252
Total number of pears = 294
To Find:
Biggest possible number of cartons needed to pack the fruits
Solution:
Calculating the common factors of given numbers -
Oranges = 210 = 2 x 3 x 5 x 7
Pears = 294 = 2 x 3 x 7 x 7
Apples = 252 = 2 x 2 x 3 x 3 x 7
Greatest common factor
= 2 x 3 x 7
= 42
Answer: Biggest possible number of cartons needed to pack the fruits is 42.