- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

Given:

HCF $= 18$

LCM $=380$

To do:

We have to check if two numbers can have 18 as their HCF and 380 as their LCM.

Solution:

HCF is the Highest common factor between two numbers and LCM is the Lowest common multiple of those numbers.

So, for a pair of numbers, LCM must be completely divisible by the HCF of those two numbers.

Therefore, if two numbers have 18 as their HCF and 380 as their LCM then, 380 must be completely divisible by 18.

Now,

$\frac{380}{18}\ =\ 21.11$

We can see that 380 is not completely divisible by 18.

So, two numbers cannot have 18 as their HCF and 380 as their LCM.

- Related Questions & Answers
- C++ program to take integer and float as input and return their sum
- Python Program to Read Two Numbers and Print Their Quotient and Remainder
- Golang Program to Read Two Numbers and Print their Quotient and Remainder
- Can we distinguish numbers as lucky and unlucky numbers?
- Finding two numbers given their sum and Highest Common Factor using JavaScript
- Maximum sum of distinct numbers with LCM as N in C++
- Find LCM of two numbers
- GCD and LCM of two numbers in Java
- Electromagnets and Their Uses
- Adjacency Matrices and their properties
- Planar Graphs and their Properties
- Digital Circuits and Their Applications
- Electrical Components and Their Symbols
- Internet Cookies and Their Types
- Take in two 2-D arrays of numbers and returns their matrix multiplication result- JavaScript
- Find the other number when LCM and HCF given in C++

Advertisements