Question

HCF of 108 and 288 by long division method pls

Answer 1

Step-by-step explanation:

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What is the HCF of 108, 288 and 360?

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The largest possible number which divides the given numbers exactly without leaving any remainder is called the HCF (Highest Common Factor).

Answer: HCF of 108, 288 and 360 is 36

HCF of 108, 288 and 360 is the highest number that divides 108, 288 and 360 exactly leaving the remainder 0.

Explanation:

We will explain the following methods to the highest common factor of 108, 288 and 360.

HCF of 108, 288 and 360 by Prime Factorization

HCF of 108, 288 and 360 by Listing the Common Factors

Method 1: Calculate HCF of 108, 288 and 360 by Prime Factorization

Let us represent 108, 288 and 360 as a product of its prime factors.

Prime factorization of 108 is 2 × 2 × 3 × 3 × 3

Prime factorization of 288 is 2 × 2 × 2 × 2 × 2 × 3 × 3

Prime factorization of 360 is 2 × 2 × 2 × 3 × 3 × 5

The common factors in the prime factorization of 108, 288 and 360 are 2, 2, 3, and 3.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 108, 288 and 360 = 2 × 2 × 3 × 3 = 36.

Answer 2

Answer:

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