Python: Check if two given numbers are Co Prime or not

Last update on May 24 2025 10:48:37 (UTC/GMT +8 hours)

Co-Prime Checker

Two numbers are coprime if their highest common factor (or greatest common divisor if you must) is 1.
Write a Python program to check if two given numbers are Co Prime or not. Return True if two numbers are Co Prime otherwise return false.

Sample Solution:

Python Code:

# Define a function 'gcd' to calculate the greatest common divisor (GCD) of two positive integers.
def gcd(p, q):
    # Use Euclid's algorithm to find the GCD.
    while q != 0:
        p, q = q, p % q
    return p

# Define a function 'is_coprime' to check if two numbers are coprime (GCD is 1).
def is_coprime(x, y):
    # Check if the GCD of 'x' and 'y' is equal to 1.
    return gcd(x, y) == 1

# Test cases to check if pairs of numbers are coprime.
print(is_coprime(17, 13))
print(is_coprime(17, 21))
print(is_coprime(15, 21))
print(is_coprime(25, 45))

Sample Output:

True
True
False
False

Explanation:

Here is a breakdown of the above Python code:

• GCD calculation (gcd function):
• The "gcd()" function uses Euclid's algorithm to calculate the greatest common divisor of two positive integers ('p' and 'q').
• Coprime check (is_coprime function):
• The "is_coprime()" function checks if two numbers ('x' and 'y') are coprime by comparing their GCD with 1.
• Test cases:
• The script includes test cases to check whether pairs of numbers are coprime using the 'is_coprime' function.

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to determine if two numbers are co-prime by calculating their greatest common divisor (GCD).
• Write a Python program to check if two integers are relatively prime using the Euclidean algorithm.
• Write a Python program to verify co-primality of two numbers and return True if their GCD is 1.
• Write a Python program to implement a function that tests whether two numbers are co-prime by utilizing math.gcd.

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