Hypotenuse Lattice points

The triangle OMN has vertices on the axes with whole number co-ordinates. How many points with whole number coordinates are there on the hypotenuse MN?
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Problem



The triangle OMN has vertices on the axes with whole number co-ordinates.


Points which have whole number coordinates are called lattice points.


How many lattice points are there on the hypotenuse MN?
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Hypotenuse Lattice points