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I agree with Jamshed. While both are identical and recognized by the ending ing, the difference between them is one of use: The gerund is always used as a noun, whereas the participle is used as an adjectival modifier.
- I clung to the swaying branch. (the present participle swaying modifies the noun branch)
- He enjoys swimming. (the gerund swimming is the direct object)
Gerund and particle are verb+ing. Gerund can be used as subject but participle can not be.