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
Find the HCF of the following pair of numbers:
240 and 6552
Given: 240 and 6552.
To find: Here we have to find the HCF of the given numbers.
Solution:
Using Euclid's division algorithm to find HCF:
Using Euclid’s lemma to get:
- $6552\ =\ 240\ \times\ 27\ +\ 72$
Now, consider the divisor 240 and the remainder 72, and apply the division lemma to get:
- $240\ =\ 72\ \times\ 3\ +\ 24$
Now, consider the divisor 72 and the remainder 24, and apply the division lemma to get:
- $72\ =\ 24\ \times\ 3\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 6552 and 240 is the divisor at this stage, i.e., 24.
So, HCF of 240 and 6552 is 24.
Updated on: 10-Oct-2022
202 Views
Advertisements