Question

The greatest common factor of 9x²y, 27xy² and 45x²y² is *​

Answer 1

Answer:

4 is the greatest common factor

Step-by-step explanation:

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Answer 2

Given:

9x²y, 27xy² and 45x²y²

To find:

The greatest common factor of 9x²y, 27xy² and 45x²y²

Solution:

The greatest common factor of 9x²y, 27xy² and 45x²y² is 9xy.

We can find the greatest common factor by following the given steps-

We know that the G.C.F. of the given numbers can be obtained by taking out the common terms.

The greatest common factor (G.C.F.) of the given numbers is the greatest number common in all the numbers.

The given terms are as follows-

9x²y=9×$x^{2}$×y=9xy(x)

27xy²=9×3×x×$y^{2}$=9xy(3y)

45x²y²=9×5×$x^{2}$×$y^{2}$=9xy(5xy)

Now, we see that all the terms have 9×x×y common in them.

So, the greatest common factors of the given numbers is 9xy.

Therefore, the greatest common factor of 9x²y, 27xy² and 45x²y² is 9xy.