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
Use Euclid's division algorithm to find the HCF of:
867 and 255
Given: 867 and 255.
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:
- $867\ =\ 255\ \times\ 3\ +\ 102$
Now, consider the divisor 255 and the remainder 102, and apply the division lemma to get:
- $255\ =\ 102\ \times\ 2\ +\ 51$
Now, consider the divisor 102 and the remainder 51, and apply the division lemma to get:
- $102\ =\ 51\ \times\ 2\ +\ 0$
The remainder has become zero, and we cannot proceed any further.
Therefore the HCF of 867 and 255 is the divisor at this stage, i.e., 51.
So, HCF of 867 and 255 is 51.
Updated on: 10-Oct-2022
44 Views
Advertisements