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What is the H.C.F. of 36 and 144?
- a)36
- b)144
- c)4
- d)2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is opti...
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
Factors of 144 are 1, 2, 3, 4, 6 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
The common factors of 36 and 144 are 1, 2, 3, 4, 6, 9, 12, 18 and 36 of which 36 is the highest.
∴ H.C.F of 36 and 144 is 36.
Factors of 144 are 1, 2, 3, 4, 6 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
The common factors of 36 and 144 are 1, 2, 3, 4, 6, 9, 12, 18 and 36 of which 36 is the highest.
∴ H.C.F of 36 and 144 is 36.
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What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is opti...
Prime Factorization Method
To find the highest common factor (HCF) of 36 and 144, we can use the prime factorization method. This method involves finding the prime factors of both numbers and then determining the common factors.
Step 1: Prime factorization of 36:
36 can be expressed as the product of prime numbers:
36 = 2 * 2 * 3 * 3
Step 2: Prime factorization of 144:
144 can be expressed as the product of prime numbers:
144 = 2 * 2 * 2 * 2 * 3 * 3
Identifying Common Factors
To find the HCF, we need to identify the common factors of 36 and 144.
The common factors are the prime factors that both numbers share. In this case, the common factors are 2, 2, 3, and 3.
Determining the HCF
To find the HCF, we take the product of the common factors:
HCF = 2 * 2 * 3 * 3 = 36
Therefore, the HCF of 36 and 144 is 36, which corresponds to option A.
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What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer?
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What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer?.
What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the H.C.F. of 36 and 144?a)36b)144c)4d)2Correct answer is option 'A'. Can you explain this answer?.
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