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Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively?
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Which greatest number divide 17,42 and 93 and leaves the reminders for...
Explanation:
Step 1: Finding the Common Divisor
To find the greatest number that divides 17, 42, and 93 and leaves reminders 3 and 2 when divided, we need to first find the common divisor of the differences between the numbers and their respective reminders.
Step 2: Calculating the Differences
- The difference between 17 and its reminder 3 is 14 (17 - 3 = 14).
- The difference between 42 and its reminder 2 is 40 (42 - 2 = 40).
Step 3: Finding the Greatest Common Divisor
Now, we need to find the greatest common divisor of 14 and 40, which will be the greatest number that divides 17, 42, and 93 and leaves reminders 3 and 2 respectively.
- The factors of 14 are 1, 2, 7, and 14.
- The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
Step 4: Identifying the Greatest Common Divisor
The greatest common divisor of 14 and 40 is 2.
Therefore, the greatest number that divides 17, 42, and 93 and leaves reminders 3 and 2 respectively is 2.
Step 1: Finding the Common Divisor
To find the greatest number that divides 17, 42, and 93 and leaves reminders 3 and 2 when divided, we need to first find the common divisor of the differences between the numbers and their respective reminders.
Step 2: Calculating the Differences
- The difference between 17 and its reminder 3 is 14 (17 - 3 = 14).
- The difference between 42 and its reminder 2 is 40 (42 - 2 = 40).
Step 3: Finding the Greatest Common Divisor
Now, we need to find the greatest common divisor of 14 and 40, which will be the greatest number that divides 17, 42, and 93 and leaves reminders 3 and 2 respectively.
- The factors of 14 are 1, 2, 7, and 14.
- The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
Step 4: Identifying the Greatest Common Divisor
The greatest common divisor of 14 and 40 is 2.
Therefore, the greatest number that divides 17, 42, and 93 and leaves reminders 3 and 2 respectively is 2.
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Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively?
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Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively?.
Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which greatest number divide 17,42 and 93 and leaves the reminders for 3 and 2 respectively?.
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