Question

Hcf of 144 and 180 express 13 m - 16 find the value of m

Answer 1

Answer:

4

Step-by-step explanation:

The prime factorization of 144 can be done as shown below:

144=2^4\times 3^2144=2

4

×3

2

The prime factorization of 180 can be done as shown below:

180=2^2\times 3^2\times 5180=2

2

×3

2

×5

HCF is highest common factor. SO,

HCF = 2^2\times 3^22

2

×3

2

= 36

Thus, the given expression is - 13 m - 16

So, according to question,

13m - 16 = 36

13 m = 52

m = 4

Answer 2

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∴ HCF = 2 x 2 x 3 x 3 = 36

Writing HCF in terms of 13m-16

HCF = 13m-16

36 = 13m-16

36+16 = 13m

52 = 13m

13m = 52

$m = \frac{52}{13}$

m = 4