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