5 has no inverse modulo 10 because the greatest common divisor of 5 and 10 is 5, which is not 1. According to the existence theorem, an integer has an inverse modulo m if and only if their gcd is 1.
Conditions: Modulus is 10.; Number whose inverse is requested: 5.
5 has no inverse modulo 10 because the greatest common divisor of 5 and 10 is 5, which is not 1. According to the existence theorem, an integer has an inverse modulo m if and only if their gcd is 1.
Conditions: Modulus is 10.; Number whose inverse is requested: 5.
An integer a has an inverse modulo m if and only if the greatest common divisor of a and m is equal to 1, written as (a,m)=1. If the greatest common divisor between a and m is greater than 1, then there is no inverse modulo m.
Conditions: a is an integer.; m is the modulus.; (a,m) denotes the greatest common divisor of a and m.
An integer a has an inverse modulo m if and only if the greatest common divisor of a and m is equal to 1, written as (a,m)=1. If the greatest common divisor between a and m is greater than 1, then there is no inverse modulo m.
Conditions: a is an integer.; m is the modulus.; (a,m) denotes the greatest common divisor of a and m.