Question

if x is equals to 2 ^ 3 into 3 into 5 ^ 2 and Y is equal to 2 ^ 2 into 3 3 power of 3 then HCF x y is​

Answer 1

Step-by-step explanation:

Given  

if x is equals to 2 ^ 3 into 3 into 5 ^ 2 and Y is equal to 2 ^ 2 into 3 3 power of 3 then HCF x y is

• Given x = 2^3 x 3 x 5^2
•     And y = 2^2 x 3 x 3^3
• We need to find the hcf of x y
• Taking the factors hcf will be 4 x 3 = 12
• Also after multiplying hcf of 600 and 324 will be
•             324) 600 (1
•                     324
•                      276)324 (1
•                              276
•                                 48) 276 (5
•                                       240
•                                          36) 48 (1
•                                                 36
•                                                  12)36 (3
•                                                        36
•                                                         0

Answer 2

$HCF$ of $X\ and\ Y$ is $12$

Step-by-step explanation:

Given,

If $X=2^{3}\times 3\times 5^{2}$ and $Y=2^{2}\times 3\times 3^{3}$

∴  $X=2^{3}\times 3\times 5^{2}$

⇒$X=600$

And $Y=2^{2}\times 3\times 3^{3}$

⇒$Y=324$

Factor of $X=2\times 2\times 2\times 3\times 5\times 5$

And Factor of $Y=2\times 2\times 3\times 3\times 3\times 3$

$HCF=$ Multiplication of common factor.

∴ Common factor of $X\ and\ Y$ is $2,2\ and\ 3$

∴ $HCF=2\times 2\times 3$

            $=12$  

So, $HCF$ of $X\ and\ Y$ is $12$