1.

If H.C.F of 408 & 1230 is express in the form 1032m - 408×5 find m.

Answer»

Given:

HCF of 408 X 5(= 2040) & 1032 is expressible in the form 1032m - 408 x 5,
To Find:
The value of m,
To find HCF,
By using euclid division lemma,
we get ,
=> a = bq + r   (b > r≥0)
=>  2040 = 1032 x 1 + 1008
=> 1032 = 1008 x 1 + 24
=> 1008 = 24 x 42 + 0
=> ∴ HCF = 24,
Applying linear combination,
We get,
=> 24 =  1032m - 408 x 5
=> 24 = 1032m - 2040
=> 24 + 2040 = 1032m
=> 2064 = 1032m
=> m = 2064/1032
=>m=2
Hope it Helps!!
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