Determine the greatest common divisor GCD (xn-1,Xm-1) where m, n are nonzero natural numbers. Please write the complete solution with steps.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine the greatest common divisor GCD (xn-1,Xm-1) where m, n are nonzero natural numbers.

Please write the complete solution with steps.

Hint: Use Euclid's algorithm for m,n respectively f and g or with roots of unity any method is acceptable or maybe you have other ideas.

Thanks in advance

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