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Find the greatest number which divides 203 and 434 leaving remainder 5 in each case?
Most Upvoted Answer
Find the greatest number which divides 203 and 434 leaving remainder 5...
First, let's find the numbers that leave a remainder of 5 when dividing 203 and 434. We can represent this as:
203 = 5 (mod x)
434 = 5 (mod x)
Let's find the GCD of the two numbers.
- Calculate the GCD of 203 and 434:
The GCD of 203 and 434 can be found using the Euclidean algorithm.
434 = 2 * 203 + 28
203 = 7 * 28 + 7
28 = 4 * 7
Since the remainder is 0, the GCD of 203 and 434 is 7.
- Explanation:
The greatest number that divides 203 and 434 leaving a remainder of 5 in each case is the GCD of the two numbers. This is because the GCD is the largest positive integer that divides both numbers without leaving a remainder.
Therefore, the greatest number that divides 203 and 434 leaving a remainder of 5 in each case is 7.
203 = 5 (mod x)
434 = 5 (mod x)
Let's find the GCD of the two numbers.
- Calculate the GCD of 203 and 434:
The GCD of 203 and 434 can be found using the Euclidean algorithm.
434 = 2 * 203 + 28
203 = 7 * 28 + 7
28 = 4 * 7
Since the remainder is 0, the GCD of 203 and 434 is 7.
- Explanation:
The greatest number that divides 203 and 434 leaving a remainder of 5 in each case is the GCD of the two numbers. This is because the GCD is the largest positive integer that divides both numbers without leaving a remainder.
Therefore, the greatest number that divides 203 and 434 leaving a remainder of 5 in each case is 7.
Community Answer
Find the greatest number which divides 203 and 434 leaving remainder 5...
It is 33
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Find the greatest number which divides 203 and 434 leaving remainder 5 in each case?
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Find the greatest number which divides 203 and 434 leaving remainder 5 in each case? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the greatest number which divides 203 and 434 leaving remainder 5 in each case? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number which divides 203 and 434 leaving remainder 5 in each case?.
Find the greatest number which divides 203 and 434 leaving remainder 5 in each case? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the greatest number which divides 203 and 434 leaving remainder 5 in each case? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number which divides 203 and 434 leaving remainder 5 in each case?.
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