Question

What is the greatest length which can be used to measure exactly 3 m 60 cm cm 840 cm and 8cm?

Answer 1

This question is testing the concept of GCD.

We will get the GCD of the measurements.

We convert the 3m to cm.

3 × 100 = 300cm

GCD OF :

300,60,840,8

300 = 2 × 2 × 3 × 5 × 5

60 = 2 × 2 × 3 × 5

840 = 2 × 2 × 2 × 3 × 5 × 7

8 = 2 × 2 × 2

The common prime factors in all of them is :

2 × 2 = 4

The greatest length is thus 4 cm