How do you find GCD using Euclidean algorithm in Python?

Using Euclidean Algorithm :

  1. Let a, b be the two numbers.
  2. a mod b = R.
  3. Let a = b and b = R.
  4. Repeat Steps 2 and 3 until a mod b is greater than 0.
  5. GCD = b.
  6. Finish.

How do you calculate GCD using Euclidean algorithm?

The Euclidean Algorithm for finding GCD(A,B) is as follows:

  1. If A = 0 then GCD(A,B)=B, since the GCD(0,B)=B, and we can stop.
  2. If B = 0 then GCD(A,B)=A, since the GCD(A,0)=A, and we can stop.
  3. Write A in quotient remainder form (A = B⋅Q + R)
  4. Find GCD(B,R) using the Euclidean Algorithm since GCD(A,B) = GCD(B,R)

How do you write a GCD program in Python?

Input: # math module contains the gcd function import math # now, let’s calculate the gcd of 2 numbers. x = 10 y = 4 hcf = math. gcd(x,y) print(f”The GCD of {x} and {y} is {hcf}.”)

How do you find the GCD in Python?

math_fun.py

  1. # create a program to print the gcd of two number in python using the math.
  2. import math.
  3. print(” GCD of two number 0 and 0 is “, math.gcd(0, 0)) #math.gcd(a, b), a and b are the two integer number.
  4. print(” GCD of two number 0 and 48 is “, math.gcd(0, 48))
  5. a = 60 # assign the number to variable a.

How do you find the HCF and GCD in Python?

In this algorithm, we divide the greater by smaller and take the remainder. Now, divide the smaller by this remainder. Repeat until the remainder is 0. For example, if we want to find the H.C.F. of 54 and 24, we divide 54 by 24.

How do you find the GCD of 3 numbers in Python?

Python code:

  1. import math.
  2. n1=int(input(“ENTER THE FIRST NUMBER “))
  3. n2=int(input(“ENTER SECOND NUMBER “))
  4. n3=int(input(“ENTER THIRD NUMBER “))
  5. print(“THE GCD OF GIVEN NUMBERS:”,math.gcd(math.gcd(n1,n2),n3))

What is the formula for Euclidean algorithm?

gcd(a, b, c) = gcd(a, gcd(b, c)) = gcd(gcd(a, b), c) = gcd(gcd(a, c), b). Thus, Euclid’s algorithm, which computes the GCD of two integers, suffices to calculate the GCD of arbitrarily many integers.

How do you find the GCD for more than 2 numbers in Python?

If we need to find gcd of more than two numbers, gcd is equal to the product of the prime factors common to all the numbers provided as arguments. It can also be calculated by repeatedly taking the GCDs of pairs of numbers of arguments.