## Description

The G.C.D. Greatest Common Divisor ) or H.C.F. Highest Common Factor ) of two numbers is the largest positive integer that perfectly divides the two given numbers.

For Example:

The G.C.D. of 10 and 14 is 2

## Method 1

``````a = int(input("Enter the number 1 : "))

b = int(input("Enter the number 2 : "))
l = []
l1 = []
gcd = 1

for i in range(1, a + 1):
if a % i == 0:
l.append(i)

for j in range(1, b + 1):
if b % j == 0:
l1.append(j)

for item in l:
for i in l1:
if item == i:
gcd = gcd * item

print("GCD : ", gcd)``````

## Method 2

``````a = int(input("Enter the number 1 : "))
b = int(input("Enter the number 2 : "))
gcd = 0
r = 1

while(r > 0):
if b > a:
r = b % a
gcd = a
a = r
else:
r = a % b
gcd = b
b = r

print(gcd)

``````

## Method 3

``````a = 45
b = 66
t = 1
while(t <= a and t <= b):
if a%t == 0 and b%t==0:
gcd = t
t=t+1
print("GCD : ", gcd)``````

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