diff --git a/Mathematics/euclidean_algo_GCD_basic.py b/Mathematics/euclidean_algo_GCD_basic.py
new file mode 100644
index 000000000..1a1cd6987
--- /dev/null
+++ b/Mathematics/euclidean_algo_GCD_basic.py
@@ -0,0 +1,11 @@
+# Python program to demonstrate Basic Euclidean Algorithm 
+# Function to return gcd of a and b 
+def gcd(a, b):  
+    if a == 0 : 
+        return b  
+    return gcd(b%a, a) 
+  
+# example with 2 numbers which could be taken as input also
+a = 10
+b = 15
+print(gcd(a, b))