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GCD calculator using Euclid's algorithm, and details the steps of GCD calculation.

Gcd online

The **GCD** function **calculates online** the greatest common divisor of two integers.
To **calculate** the **GCD online** , the function uses the Euclidean algorithm .The steps of the GCD calculations
are specified.

The Euclidean algorithm uses successive Euclidean division to determine the GCD. To calculate the greatest common divisor of two integers a and b, using the algorithm is performed the Euclidean division of a by b , we obtain a = bq + r. If r is zero, q is the GCD , otherwise it repeats the operation by performing the Euclidean division of b and r .The algorithm uses the following property gcd (a,b)= gcd(b,r). The GCD is the last non-zero remainder . The following example shows a detailed calculation using the algorithm of Euclide to determine the GCD of two numbers.

Thus, for **calculating** the **online gcd** of two integers 150 and 350 , just type
gcd(150;350) ,
the calculator returns the result 50.

The **calculation of the GCD** is particularly useful for
simplifying a fraction
and put in the form of an
irreducible fraction.

GCD calculator using Euclid's algorithm, and details the steps of GCD calculation.

See also :

- Arithmetic solver : arithmetic_solver. This solver allows finding a target number from a set of integer in using arithmetic operations.
- Arrangement : arrangement. To calculate online the number of arrangement of p elements of a set of n elements.
- To count the number of combinations : combination. To calculate the number of p elements of part of a set of n elements.
- Euclidean division : euclidean_division. The euclidean_division function to calculate online the quotient and the remainder in the euclidean division of two polynomials or two integers.
- Factorial : factorial. Online factorial Calculator. The factorial of a natural number n is the product of the positive integers less than or equal to n.
- Gcd calculation online : gcd. GCD calculator using Euclid's algorithm, and details the steps of GCD calculation.
- Parity of a number : is_even. Is_even function returns 1 if the number is even, 0 otherwise.
- Parity of a number : is_odd. Is_odd function returns true if the number passed is odd, false otherwise.
- Permutation : permutation. To calculate online the number of permutation of a set of n elements.
- Prime factorization calculator : prime_factorization. The function prime_factorization is used to calculate online the decomposition of an integer into prime factors.
- Pythagorean theorem : pythagorean. The function makes it possible to verify by using the Pythagorean theorem knowing the lengths of the sides of a triangle that this is a right triangle. If the sides of the triangle depend on a variable, then the value of the variable is calculated so that the triangle is a right triangle.