Hello,
In this article, we will see how to find GCD of 2 numbers in Python language. This article is part of our tech interview preparation series.
What is GCD?
GCD(Greatest common divisor) or HCF(Highest common factor) is common factor between 2 or more numbers which is divisible by both.
GCD of 4 and 6 is 2. Here both 4 and 6 have common factor 2.
GCD of 10,25,40 is 5
How to calculate GCD between 2 numbers?
To find our GCD between 2 numbers, you need to take factors of both numbers, and see the common factors. GCD is product of common factors.
For example : To calculate GCD of 4 and 6
Factor of 4 = 1,2,4
Factor of 6 = 1,2,3,6
Common factors= 1,2
GCD=2
How to find GCD between 2 number in Python
def getFactor(number):
factors = []
i=1
while(i<number+1):
if(number%i==0):
factors.append(i)
i+=1
return factors
def getCommon(a,b):
c = [value for value in a if value in b]
c.sort()
c.reverse()
return c[0]
def getGCD(num1,num2):
if(num1==num2):
return num1
if(num1%num2==0):
return num2
if(num2%num1==0):
return num1
factor_num1 = getFactor(num1)
factor_num2 = getFactor(num2)
return getCommon(factor_num1,factor_num2)
print(getGCD(320,400))End note
In the article, you have seen how to find GCD between 2 or more number in Python.
If in case you have doubt regarding implementation, please feel free to share us your concerns in discussion thread below, or mail us to info@xamnation.com
This article is for technical interview preparation. Find more useful programming exercises in link below.
- How to check whether string is palindrome or not
- How to find prime numbers between a given range
- How to check whether number is Armstrong number
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