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IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p?
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IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p...
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IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p...
Calculating the HCF of 408 and 1032
The highest common factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, we are looking for the HCF of 408 and 1032.
Prime Factorization Method
One way to find the HCF is to use the prime factorization method. First, we find the prime factors of both numbers:
- 408 = 2 × 2 × 2 × 3 × 17
- 1032 = 2 × 2 × 2 × 3 × 43
Next, we identify the common prime factors and multiply them:
HCF = 2 × 2 × 2 × 3 = 24
Expressing the HCF in the given form
Given expression: 1032p - 408 × 5
Substitute the value of the HCF into the expression:
24 = 1032p - 408 × 5
Now, solve for p:
1032p - 2040 = 24
1032p = 2064
p = 2
Therefore, the value of p that satisfies the given expression is 2.
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IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p?
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IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p?.
IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for IF the hcf of 408 and 1032 is expressible in the from1032p-408×5find p?.
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