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Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps?
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Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and ...
Euclid's Division Algorithm
Euclid's division algorithm is a method of finding the HCF of two numbers by repeated division and finding the remainder. The algorithm states that:
- Divide the larger number by the smaller number.
- Find the remainder.
- Divide the smaller number by the remainder.
- Repeat until the remainder is zero.
- The last non-zero remainder is the HCF of the two numbers.
Finding the HCF of A, 630, B, and 110
Given:
- HCF of A and 630 is 210.
- HCF of B and 110 is 55.
We can use Euclid's division algorithm to find the HCF of A, 630, B, and 110.
Step 1: Finding the HCF of A and 630
Since the HCF of A and 630 is 210, we can use Euclid's division algorithm to find the HCF of 210 and 630.
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 630 | 210 | 3 | 0 |
Therefore, the HCF of A and 630 is 210.
Step 2: Finding the HCF of B and 110
Since the HCF of B and 110 is 55, we can use Euclid's division algorithm to find the HCF of 55 and 110.
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 110 | 55 | 2 | 0 |
Therefore, the HCF of B and 110 is 55.
Step 3: Finding the HCF of A, 630, B, and 110
Now, we can use Euclid's division algorithm to find the HCF of 210, 630, 55, and 110.
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 630 | 210 | 3 | 0 |
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Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps?
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Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps? 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 Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps?.
Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps? 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 Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. Aand B are positive integers. HCF of Aand 630 is 210. HCF of B and 110 is 55. Find the HCF of A, 630, B and 110 using Euclid's division algorithm. Show your steps?.
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