Class 10 Exam > Class 10 Questions > use Euclid division algorithm to find the HCF...
Start Learning for Free
use Euclid division algorithm to find the HCF of 132 and 225
?
Most Upvoted Answer
use Euclid division algorithm to find the HCF of 132 and 225 Related: ...
Since 225 is greater than 135,
225=135×1+90,
since, reminder is 90≠0, we apply the process again,
135=90×1+45,
applying the process again,till will we get 0 as reminder,
90=45×2+0,
so, HCF(132,225)=45
225=135×1+90,
since, reminder is 90≠0, we apply the process again,
135=90×1+45,
applying the process again,till will we get 0 as reminder,
90=45×2+0,
so, HCF(132,225)=45
Community Answer
use Euclid division algorithm to find the HCF of 132 and 225 Related: ...
To find the HCF (Highest Common Factor) of 132 and 225 using Euclid's division algorithm, we will divide the larger number by the smaller number and continue dividing the remainder by the divisor until we get a remainder of 0.
Step 1: Divide 225 by 132.
225 ÷ 132 = 1 remainder 93
Step 2: Now divide 132 by 93.
132 ÷ 93 = 1 remainder 39
Step 3: Divide 93 by 39.
93 ÷ 39 = 2 remainder 15
Step 4: Divide 39 by 15.
39 ÷ 15 = 2 remainder 9
Step 5: Divide 15 by 9.
15 ÷ 9 = 1 remainder 6
Step 6: Divide 9 by 6.
9 ÷ 6 = 1 remainder 3
Step 7: Divide 6 by 3.
6 ÷ 3 = 2 remainder 0
Since we have obtained a remainder of 0, we stop the division process.
The last divisor used, which is 3, is the HCF of 132 and 225.
Therefore, the HCF of 132 and 225 is 3.
Step 1: Divide 225 by 132.
225 ÷ 132 = 1 remainder 93
Step 2: Now divide 132 by 93.
132 ÷ 93 = 1 remainder 39
Step 3: Divide 93 by 39.
93 ÷ 39 = 2 remainder 15
Step 4: Divide 39 by 15.
39 ÷ 15 = 2 remainder 9
Step 5: Divide 15 by 9.
15 ÷ 9 = 1 remainder 6
Step 6: Divide 9 by 6.
9 ÷ 6 = 1 remainder 3
Step 7: Divide 6 by 3.
6 ÷ 3 = 2 remainder 0
Since we have obtained a remainder of 0, we stop the division process.
The last divisor used, which is 3, is the HCF of 132 and 225.
Therefore, the HCF of 132 and 225 is 3.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute?
Question Description
use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute?.
use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute?.
Solutions for use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? defined & explained in the simplest way possible. Besides giving the explanation of
use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute?, a detailed solution for use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? has been provided alongside types of use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? theory, EduRev gives you an
ample number of questions to practice use Euclid division algorithm to find the HCF of 132 and 225 Related: All in One Mathematics Charts & Formula For Class 10th | Quick Revision Guide | LetsTute? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup