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Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.
- a)5
- b)15
- c)25
- d)35
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Find the greatest number that will divide 390, 495 and 300 without lea...
Lets factorize each one them
390 = 2 × 3 × 5 × 13
300 = 2 × 2 × 3 × 5 × 5
495 = 3 × 3 × 5 × 11
Hence we can see only two numbers common two all three are 3 × 5 = 15
∴ 15 is the greatest number that divides 390, 495 and 300 without leaving a remainder.
Most Upvoted Answer
Find the greatest number that will divide 390, 495 and 300 without lea...
To find the greatest number that will divide 390, 495, and 300 without leaving a remainder, we need to find the highest common factor (HCF) of these numbers.
Step 1: Prime Factorization
To find the HCF, we first need to factorize each number into its prime factors.
390 = 2 × 3 × 5 × 13
495 = 3 × 3 × 5 × 11
300 = 2 × 2 × 3 × 5 × 5
Step 2: Identify Common Factors
Next, we identify the common factors among these prime factorizations. These common factors will be the prime factors that appear in all three numbers.
The common factors among the prime factorizations are: 3, 5
Step 3: Find the Greatest Common Factor
Finally, we find the greatest common factor (HCF) by multiplying the common factors together.
HCF = 3 × 5 = 15
Therefore, the greatest number that will divide 390, 495, and 300 without leaving a remainder is 15. Hence, the correct answer is option B) 15.
Step 1: Prime Factorization
To find the HCF, we first need to factorize each number into its prime factors.
390 = 2 × 3 × 5 × 13
495 = 3 × 3 × 5 × 11
300 = 2 × 2 × 3 × 5 × 5
Step 2: Identify Common Factors
Next, we identify the common factors among these prime factorizations. These common factors will be the prime factors that appear in all three numbers.
The common factors among the prime factorizations are: 3, 5
Step 3: Find the Greatest Common Factor
Finally, we find the greatest common factor (HCF) by multiplying the common factors together.
HCF = 3 × 5 = 15
Therefore, the greatest number that will divide 390, 495, and 300 without leaving a remainder is 15. Hence, the correct answer is option B) 15.
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Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.a)5b)15c)25d)35Correct answer is option 'B'. Can you explain this answer?
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Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.a)5b)15c)25d)35Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.a)5b)15c)25d)35Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.a)5b)15c)25d)35Correct answer is option 'B'. Can you explain this answer?.
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