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Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?
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Find the greatest number that will divide 427 and 900 leaving the rema...
Analysis:
To find the greatest number that will divide 427 and 900 leaving remainders 3 and 8 respectively, we need to use the concept of the greatest common divisor (GCD) or highest common factor (HCF).
Step 1: Finding the Factors of the Given Numbers
- The factors of 427 are 1, 7, 61, and 427.
- The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, and 900.
Step 2: Finding the Common Factors
- The common factors of 427 and 900 are 1.
- Therefore, the greatest number that will divide 427 and 900 leaving remainders 3 and 8 respectively is 1.
Explanation:
When a number divides another number leaving a remainder, the greatest number that can divide both numbers leaving the specified remainders is always 1. This is because any number greater than 1 would divide the original numbers without leaving the specified remainders. Therefore, in this case, the greatest number that will divide 427 and 900 leaving remainders 3 and 8 respectively is 1.
To find the greatest number that will divide 427 and 900 leaving remainders 3 and 8 respectively, we need to use the concept of the greatest common divisor (GCD) or highest common factor (HCF).
Step 1: Finding the Factors of the Given Numbers
- The factors of 427 are 1, 7, 61, and 427.
- The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, and 900.
Step 2: Finding the Common Factors
- The common factors of 427 and 900 are 1.
- Therefore, the greatest number that will divide 427 and 900 leaving remainders 3 and 8 respectively is 1.
Explanation:
When a number divides another number leaving a remainder, the greatest number that can divide both numbers leaving the specified remainders is always 1. This is because any number greater than 1 would divide the original numbers without leaving the specified remainders. Therefore, in this case, the greatest number that will divide 427 and 900 leaving remainders 3 and 8 respectively is 1.
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Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?
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Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?.
Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?.
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