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use Euclid division algorithm to find the HCF of 132 and 225
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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
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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.
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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?.
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