Question 126

The length, breadth and height of a box are 506 cm, 345 cm and 230 cm respectively. The length of the longest scale that will measure the three dimensions of the box is:

Solution

Given,

Length = 506 cm

Breadth = 345 cm

Height = 230 cm

Length of the longest scale= HCF of 506, 345, 230

HCF

$$506= 2\times\ 11\times\ 23$$

$$345= 3\times\ 5\times\ 23$$

$$230= 2\times\ 5\times\ 23$$

$$HCF = 23$$

Length of longest scale= 23 cm

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