Answered

Get expert insights and community support for your questions on IDNLearn.com. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

Find the HCF of 204, 1190, and 1445.

Sagot :

GinnyAnsweridn
To find the Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), of the numbers 204, 1190, and 1445, follow these steps:

### Step 1: Find the HCF of 204 and 1190
First, we need to calculate the HCF of the two numbers, 204 and 1190.

- The prime factors of 204 are 2, 2, 3, and 17 (since [tex]\( 204 = 2^2 \times 3 \times 17 \)[/tex]).
- The prime factors of 1190 are 2, 5, 7, and 17 (since [tex]\( 1190 = 2 \times 5 \times 7 \times 17 \)[/tex]).

The common prime factors are 2 and 17.

Thus, the HCF of 204 and 1190 is [tex]\( 2 \times 17 = 34 \)[/tex].

### Step 2: Find the HCF of the result from Step 1 (34) and 1445
Next, we need to find the HCF of 34 and 1445.

- The prime factors of 34 are 2 and 17 (since [tex]\( 34 = 2 \times 17 \)[/tex]).
- The prime factors of 1445 are 5, 17, and 17 (since [tex]\( 1445 = 5 \times 17 \times 17 \)[/tex]).

The common prime factor is 17.

Thus, the HCF of 34 and 1445 is 17.

### Final Result:
Therefore, the HCF of 204, 1190, and 1445 is 17.
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.