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The proof demonstrates this by showing that d is a linear combination of a and b. Since any common divisor divides both a and b, it must also divide any integer linear combination of them, including d.

Conditions: d is the least positive linear combination of a and b.; c is a common divisor of a and b.

The proof demonstrates this by showing that d is a linear combination of a and b. Since any common divisor divides both a and b, it must also divide any integer linear combination of them, including d.

Conditions: d is the least positive linear combination of a and b.; c is a common divisor of a and b.