Question

express the HCF of 468 and 222 as 468x + 222y where x and y are integers in two different ways​​

Answer 1

ANSWER

468=22×32×13=(222×2)+24⋯(1)

222=2×3×37=24×9+6⋯(2)

HCF of 468 and 222 is 6

Now we have to express 6 as 468x+222y

From (2), 6=222−(24×9)

⟹6=222−((468−222×2)×9)          (∵ from (2) )

⟹6=468×(−9)+222×19

∴x=−9,y=19

Answer 2

Step-by-step explanation:

Your Answer is 6

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