What is the HCF of 180 and 210?

Answer 1

The GCF is 30.

Answer 2

Hi!

Here is an easy method to find the HCF of absolutely any pair of numbers.

Step 1

Find the difference between the numbers.

x - y = z

Step 2

Ask this question, 'Is z a factor of x and y?'

Another way to ask this question is, 'Are x and y in z's timetable?'

If the answer is 'YES', then z is the HCF/ GCF.

It's as simple as that.

All you have to do is substitute the letters with the numbers that you were given in the question.

Let's take 9 & 12 as examples.

12 - 9 = 3

Is 3 a factor of 12 and 9? Yes

Are 12 and 9 in 3's timetable? Yes (3 x 3 = 9, 3 x 4 = 12)

HCF/ GCF = 3

According to your question, the numbers are 180 and 210.

210 - 180 = 30

Is 30 a factor of 210 and 180? Yes

Are 210 and 180 in 30's timetable? Yes (30 x 60 = 180, 30 x 70 = 210)

HCF/GCF = 30

DISCLAIMER: This only works on two numbers.

You can ask one question. It isn't necessary to ask both questions.

Answer 3

The Highest Common Factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the HCF of 180 and 210, you can use the Euclidean algorithm or prime factorization method. In this case, the prime factorization of 180 is 2^2 * 3^2 * 5, and the prime factorization of 210 is 2 * 3 * 5 * 7. The common factors are 2, 3, and 5, so the HCF of 180 and 210 is 2 * 3 * 5 = 30.

Answer 4

Oh, isn't that a happy little question! The Highest Common Factor (HCF) of 180 and 210 is 30. You see, just like painting, finding the HCF is all about looking for the biggest number that can evenly divide both 180 and 210, bringing harmony and balance to your mathematical canvas.

Answer 5

The HCF of 180 and 210 is 30.

Answer 6

30

Answer 7

2