How do you find the HCF of 189 and 231?

Answer 1

Well, honey, the first step is to list out the factors of both numbers. For 189, you've got 1, 3, 9, 21, 63, and 189. And for 231, you've got 1, 3, 7, 11, 21, 77, and 231. The highest common factor (HCF) is the largest number that appears in both lists, which in this case is 21. So, there you have it!

Answer 2

Well, isn't that a happy little question! To find the Highest Common Factor (HCF) of 189 and 231, you can use the method of prime factorization. First, find the prime factors of each number: 189 = 3 x 3 x 3 x 7 and 231 = 3 x 7 x 11. Then, identify the common prime factors and multiply them together to get the HCF. In this case, the HCF of 189 and 231 is 21. Just like painting a beautiful landscape, finding the HCF can be a peaceful and rewarding experience!

Answer 3

To find the Highest Common Factor (HCF) of 189 and 231, you first need to list the factors of each number. The factors of 189 are 1, 3, 7, 9, 21, 27, 63, and 189. The factors of 231 are 1, 3, 7, 11, 21, 33, 77, and 231. The largest number that appears in both lists is 21, so the HCF of 189 and 231 is 21.

Answer 4

I suggest you learn to use Euclid's algorithm, as the method that is applicable to all sorts of numbers, large and small. Here is the first step:The remainder of the division of 231 by 189 is 42. Therefore, gcf(231, 189) is the same as gcf(189, 42).

Continue by dividing 189 by 42, and getting the remainder, etc.

(For fairly small numbers, an alternative method is to split each number into prime factors, and check the common prime factors between the two numbers.)

Answer 5

Factor them.

3 x 3 x 3 x 7 = 189

3 x 7 x 11 = 231

Select the common factor.

The GCF is 3.

Answer 6

1. You factorise 189 = 3*3*11
2. You factorise 231 = 3*7*11
3. The common factors are 3 and 11 so you multiply them: 3*11 = 33
4. The HCF is 33.

Answer 7

21

Answer 8

11