UPSC Exam > UPSC Questions > Find the greatest number that will divide 427...
Start Learning for Free
Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?
Most Upvoted Answer
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.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?
Question Description
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?.
Solutions for Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? defined & explained in the simplest way possible. Besides giving the explanation of
Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively?, a detailed solution for Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? has been provided alongside types of Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? theory, EduRev gives you an
ample number of questions to practice Find the greatest number that will divide 427 and 900 leaving the remaniders 3 and 8 respectively? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup