CTET & State TET Exam > CTET & State TET Questions > The HCF of 1683, 2244 and 5049 is x. The sum ...
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The HCF of 1683, 2244 and 5049 is x. The sum of digits of x is
- a)15
- b)11
- c)13
- d)12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11...
Given:
The HCF of 1683, 2244 and 5049 is x.
Concept used:
HCF - The greatest number which divides each of the two or more numbers
Calculation:
⇒ 1683 = 3 × 3 × 11 × 17
⇒ 2244 = 2 × 2 × 3 × 11 × 17
⇒ 5049 = 3 × 3 × 3 × 11 × 17
The HCF = (3 × 11 × 17)
⇒ 561
So,
⇒ x = 561
Now,
The sum of digits of x = (5 + 6 + 1)
⇒ 12
∴ The required sum of digits of x is 12.
The HCF of 1683, 2244 and 5049 is x.
Concept used:
HCF - The greatest number which divides each of the two or more numbers
Calculation:
⇒ 1683 = 3 × 3 × 11 × 17
⇒ 2244 = 2 × 2 × 3 × 11 × 17
⇒ 5049 = 3 × 3 × 3 × 11 × 17
The HCF = (3 × 11 × 17)
⇒ 561
So,
⇒ x = 561
Now,
The sum of digits of x = (5 + 6 + 1)
⇒ 12
∴ The required sum of digits of x is 12.
Most Upvoted Answer
The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11...
Calculation of HCF
To find the HCF of 1683, 2244, and 5049, we first need to factorize each number.
1683 = 3 x 3 x 11 x 17
2244 = 2 x 2 x 3 x 11 x 17
5049 = 3 x 3 x 3 x 3 x 59
To find the HCF, we take the common factors with the lowest power from the factorizations of the numbers.
HCF = 3 x 11 = 33
Finding the sum of digits of HCF
To find the sum of digits of the HCF (33), we add the individual digits together.
3 + 3 = 6
Therefore, the sum of digits of the HCF (33) is 6.
Hence, the correct answer is option 'D) 12'.
To find the HCF of 1683, 2244, and 5049, we first need to factorize each number.
1683 = 3 x 3 x 11 x 17
2244 = 2 x 2 x 3 x 11 x 17
5049 = 3 x 3 x 3 x 3 x 59
To find the HCF, we take the common factors with the lowest power from the factorizations of the numbers.
HCF = 3 x 11 = 33
Finding the sum of digits of HCF
To find the sum of digits of the HCF (33), we add the individual digits together.
3 + 3 = 6
Therefore, the sum of digits of the HCF (33) is 6.
Hence, the correct answer is option 'D) 12'.
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Community Answer
The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11...
Given:
The HCF of 1683, 2244 and 5049 is x.
Concept used:
HCF - The greatest number which divides each of the two or more numbers
Calculation:
⇒ 1683 = 3 × 3 × 11 × 17
⇒ 2244 = 2 × 2 × 3 × 11 × 17
⇒ 5049 = 3 × 3 × 3 × 11 × 17
The HCF = (3 × 11 × 17)
⇒ 561
So,
⇒ x = 561
Now,
The sum of digits of x = (5 + 6 + 1)
⇒ 12
∴ The required sum of digits of x is 12.
The HCF of 1683, 2244 and 5049 is x.
Concept used:
HCF - The greatest number which divides each of the two or more numbers
Calculation:
⇒ 1683 = 3 × 3 × 11 × 17
⇒ 2244 = 2 × 2 × 3 × 11 × 17
⇒ 5049 = 3 × 3 × 3 × 11 × 17
The HCF = (3 × 11 × 17)
⇒ 561
So,
⇒ x = 561
Now,
The sum of digits of x = (5 + 6 + 1)
⇒ 12
∴ The required sum of digits of x is 12.
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The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11c)13d)12Correct answer is option 'D'. Can you explain this answer? for CTET & State TET 2025 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11c)13d)12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11c)13d)12Correct answer is option 'D'. Can you explain this answer?.
The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11c)13d)12Correct answer is option 'D'. Can you explain this answer? for CTET & State TET 2025 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11c)13d)12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The HCF of 1683, 2244 and 5049 is x. The sum of digits of x isa)15b)11c)13d)12Correct answer is option 'D'. Can you explain this answer?.
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