Question

is the HCF of 114 and 180 is expressed in the form of 13 M - 3 then find the value of m​

Answer 1

Step-by-step explanation:

By long division method,

The HCF of 114 and 180 is,

114|180|1

- 114

——

66|114|1

- 66

——

48|66|1

- 48

——

18|48|2

- 36

——

12|18|1

- 12

——

6|12|2

- 12

——

×××

HCF is 6.

Now on putting the value in the equation,

13M-3 = 6

13M = 6+3=9

M = 9/13.

Hence the value of M is 9/13.

Answer 2

HCF of 114 and 180

$114 = 2 \times 3 \times 19$

$180 = 2 \times 2 \times 3 \times 3 \times 5$

HCF is

$2 \times 3$

$6$

According to Question

$hcf \: of \: 114 \: and \: 180 = 13m - 3$

$6 = 13m - 3$

$6 + 3 = 13m$

$9 = 13m$

$m \: = \frac{</strong><strong>9</strong><strong>}{13}$