![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.
Given :
Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively.
To find :
We have to find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.
Solution :
The highest common factor of 403, 434, 465 is the maximum capacity required.
Prime factorization of $403 = 13 \times 31$
Prime factorization of $434 = 2 \times 7 \times 31$
Prime factorization of $465 = 3 \times 5 \times 31$
HCF of 403, 434 and 465 $= 31$
Therefore, a container of 31 litres can measure the diesel of the three containers exact number of times.
Advertisements