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Find the HCF of the following number using prime factorization method 168, 216?
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Find the HCF of the following number using prime factorization method ...
Prime Factorization Method to Find HCF of 168 and 216
- Step 1: Find the prime factorization of each number
168 = 2 x 2 x 2 x 3 x 7
216 = 2 x 2 x 2 x 3 x 3 x 3
- Step 2: Identify common prime factors
The common prime factors are 2, 2, 2, and 3.
- Step 3: Multiply the common prime factors
The HCF is the product of the common prime factors: 2 x 2 x 2 x 3 = 24.
Explanation
The HCF (Highest Common Factor) or GCD (Greatest Common Divisor) is the largest number that divides two or more numbers without leaving a remainder.
To find the HCF of 168 and 216, we use the prime factorization method. This method involves finding the prime factors of each number and then identifying the common prime factors.
First, we find the prime factorization of both numbers. 168 can be expressed as the product of 2 x 2 x 2 x 3 x 7, while 216 can be expressed as the product of 2 x 2 x 2 x 3 x 3 x 3.
Next, we identify the common prime factors. In this case, the common prime factors are 2, 2, 2, and 3.
Finally, we multiply the common prime factors to find the HCF. In this case, the HCF is 2 x 2 x 2 x 3 = 24.
Therefore, the HCF of 168 and 216 is 24.
Community Answer
Find the HCF of the following number using prime factorization method ...
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Find the HCF of the following number using prime factorization method 168, 216?
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Find the HCF of the following number using prime factorization method 168, 216? 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 HCF of the following number using prime factorization method 168, 216? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF of the following number using prime factorization method 168, 216?.
Find the HCF of the following number using prime factorization method 168, 216? 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 HCF of the following number using prime factorization method 168, 216? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF of the following number using prime factorization method 168, 216?.
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