Question

The length, breadth and height of a container are $850$ cm, $650$ cm and $325$ cm respectively. Find the longest tape which can measure the dimensions of the container fully.

Answer 1

The longest tape which can measure the dimensions of the container fully is the HCF of all three numbers:

Finding the HCF of $850$, $650$ and $325$ to find the longest tape measurement.

Prime factors of $850=2\times 5\times 5\times 17$

Prime factors of $650=2\times 5\times 5\times 13$

Prime factors of $325=5\times 5\times 13$

Common Factors of $850$, $650$, and $325$ are $5$, and $5$

HCF of $850$, $650$, and $325$ will be $=5\times 5=25$

Hence, the longest tape which can measure the dimensions of the container fully is $25$ cm