Math, asked by akashdigra, 9 months ago

find HCF of 144,180,192​

Answers

Answered by Punjabikudi4
2

▫▪◽◾◻◼Answer◼◻◾◾◽▪

✔12

Hope it will help you ❤❤

Answered by sheeb12ansari
0

Answer:

The HCF of  144, 180, and 192​ is 12.

Step-by-step explanation:

Given: The numbers are 144, 180, and 192​.

We have to find the HCF of the above numbers.

  • As we know that, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
  • HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 144, 180, and 192​.

First, we will find the factors of the above numbers.

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The factors of 192 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

From the above, we can see that 12 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 12.

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