Question

If the HCF of 408 and 1032 is expressible in the form 1032 - 408 × 5 , find m. plz don't copy from google ​

Answer 1

Answer:

Step-by-step explanation:

Ur qn must be 1032m-408*5

If the HCF of 408 and 1032 can be written as  

By Euclid 's division algorithm,

1032 = 408×2 + 216

408 = 216×1 + 192

216 = 192×1 + 24

192 = 24×8 + 0

Since the remainder becomes 0 here, so HCF of 408 and 1032 is 24

Now,  

1032m - 408*5 = HCF of these numbers

=> 1032m - 2040 = 24

=> 1032m = 24+2040

=> m = 2064/1032

=> m = 2

So, value of m is 2.

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