Mrs Ronald has $$3$$ types of coffee beans. Type $$A$$ coffee beans weigh $$56\text{kg}$$, Type $$B$$ coffee beans weigh $$96\text{kg}$$ and Type $$C$$ coffee beans weigh $$120\text{kg}$$. She wants to repack all the coffee beans into smaller packets of equal mass without mixing the different types coffee beans. What is the greatest possible mass of each small packet? 
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