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Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.
- a)24
- b)12
- c)36
- d)54
Correct answer is option 'C'. Can you explain this answer?
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Find the largest number that will divide 76, 113 and 186 leaving remai...
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Solution:
The largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively is also known as the highest common factor (HCF) of (76-4), (113-5) and (186-6).
Step-by-step solution:
• Subtract the remainder from each number to get the actual number.
• So, the actual numbers are 72, 108, and 180.
• Now, find the common factors of these numbers.
• The common factors of 72, 108, and 180 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
• Out of these common factors, select the highest one which leaves the same remainder when divided by 4, 5, and 6 respectively.
• The highest common factor (HCF) of (76-4), (113-5) and (186-6) is 36.
• Hence, the correct option is (c) 36.
Therefore, the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively is 36.
The largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively is also known as the highest common factor (HCF) of (76-4), (113-5) and (186-6).
Step-by-step solution:
• Subtract the remainder from each number to get the actual number.
• So, the actual numbers are 72, 108, and 180.
• Now, find the common factors of these numbers.
• The common factors of 72, 108, and 180 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
• Out of these common factors, select the highest one which leaves the same remainder when divided by 4, 5, and 6 respectively.
• The highest common factor (HCF) of (76-4), (113-5) and (186-6) is 36.
• Hence, the correct option is (c) 36.
Therefore, the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively is 36.
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Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. Can you explain this answer?
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Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. 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 Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. 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 Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. Can you explain this answer?.
Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. 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 Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. 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 Find the largest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively.a)24b)12c)36d)54Correct answer is option 'C'. Can you explain this answer?.
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