Question

Find the HCF: 144, 180, and 192.

Answer 1

Answer:

The HCF of 144, 180, and 192 is 12.

Step-by-step explanation:

• Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 192: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
• There are 6 common factors of 144, 180 and 192, that are 1, 2, 3, 4, 6, and 12.  
• Therefore, the highest common factor of 144, 180 and 192 is 12.

Answer 2

Given: The numbers are$144, 180, \ and\ 192.$

We have to find the HCF.

As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are$144, 180, \ and\ 192.$

Now,

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: $1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192$

Then the greatest common factor is$12$.

Hence, the HCF will be$12$.