/* Problem statement and Explanation : https://en.wikipedia.org/wiki/Euclidean_algorithm In this method, we have followed the iterative approach to first find a minimum of both numbers and go to the next step. */ /** * GetEuclidGCD return the gcd of two numbers using Euclidean algorithm. * @param {Number} arg1 first argument for gcd * @param {Number} arg2 second argument for gcd * @returns return a `gcd` value of both number. */ const GetEuclidGCD = (arg1, arg2) => { // firstly, check that input is a number or not. if (typeof arg1 !== 'number' || typeof arg2 !== 'number') { return new TypeError('Argument is not a number.') } // check that the input number is not a negative value. if (arg1 < 1 || arg2 < 1) { return new TypeError('Argument is a negative number.') } // Find a minimum of both numbers. let less = arg1 > arg2 ? arg2 : arg1 // Iterate the number and find the gcd of the number using the above explanation. for (less; less >= 2; less--) { if ((arg1 % less === 0) && (arg2 % less === 0)) return (less) } return (less) } export { GetEuclidGCD }