# Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.

We know 1m = 100cm.

So,

7m = 700cm,

3m 85cm = 300 + 85 = 385cm,

and 12m 95cm = 1200 + 95 = 1295cm.

The greatest possible length that can measure all the three given lengths will be HCF of the lengths -

So HCF of 700, 385 and 1295 -

Prime factors of numbers are -

700 = 2 × 2 × 5 × 5 × 7

385 = 5 × 7 × 11

1295 = 5 × 7 × 37

HCF = 5 × 7 = 35.

So the greatest possible length that can be used = 35cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz:Euclid's Division Lemma44 mins
Fundamental Theorem of Arithmetic-238 mins
Champ Quiz | Fundamental Principle Of Arithmetic41 mins
Fundamental Theorem of Arithmetic- 143 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Euclids Division Lemma49 mins
Quiz | Imp Qs on Real Numbers37 mins
Interactive Quiz - HCF and LCM32 mins
Relation Between LCM , HCF and Numbers46 mins
Application of Euclids Division Lemma50 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses