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The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.
- a)84
- b)42
- c)49
- d)63
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The greatest number that will divide 445, 572 & 699 leaving remain...
Solution-> 445 - 4 = 441
572 - 5 = 567
699 - 6 = 693
Now find the greatest common factor of those 3 numbers:
441 = 3 x 3 x 7 x 7
572 = 3 x 3 x 3 x 3 x 7
693 = 3 x 3 x 7 x 11
The common factors are 3 x 3 x 7 = 63
HCF Of (441,567,693) = 63
445 / 63 = 7 remainder 4
572 / 63 = 9 remainder 5
699 / 63 = 11 remainder 6
63 is the largest divisor that will give the desired remainders.
Most Upvoted Answer
The greatest number that will divide 445, 572 & 699 leaving remain...
To find the greatest number that will divide 445 and 572, we need to find the highest common factor (HCF) of these two numbers.
We can use the prime factorization method to find the HCF.
Prime factorization of 445:
445 = 5 × 89
Prime factorization of 572:
572 = 2 × 2 × 11 × 13
Now we need to find the common factors of 445 and 572. These are the factors that both numbers have in common.
The factors of 445 are 1, 5, 89, and 445.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 143, 286, and 572.
The common factors of 445 and 572 are 1 and 11.
Therefore, the HCF of 445 and 572 is 11.
So, the greatest number that will divide both 445 and 572 is 11.
We can use the prime factorization method to find the HCF.
Prime factorization of 445:
445 = 5 × 89
Prime factorization of 572:
572 = 2 × 2 × 11 × 13
Now we need to find the common factors of 445 and 572. These are the factors that both numbers have in common.
The factors of 445 are 1, 5, 89, and 445.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 143, 286, and 572.
The common factors of 445 and 572 are 1 and 11.
Therefore, the HCF of 445 and 572 is 11.
So, the greatest number that will divide both 445 and 572 is 11.
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The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer?
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The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer?.
The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The greatest number that will divide 445, 572 & 699 leaving remainder 4, 5, 6 respectively.a)84b)42c)49d)63Correct answer is option 'D'. Can you explain this answer?.
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