Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 436, 764, 733, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 764, 733, 200 is 1
GCD(436, 764, 733, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 764, 733, 200 is 1
GCD(436, 764, 733, 200) = 1
Given Input numbers are 436, 764, 733, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 436, 764, 733, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 764, 733, 200 is 1.
Therefore, GCD of numbers 436, 764, 733, 200 is 1
Given Input Data is 436, 764, 733, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 733 is 733
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(436, 764) = 83276
GCD(436, 764) = ( 436 x 764 ) / 83276
GCD(436, 764) = 333104 / 83276
GCD(436, 764) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 733) = 2932
GCD(4, 733) = ( 4 x 733 ) / 2932
GCD(4, 733) = 2932 / 2932
GCD(4, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 436, 764, 733, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 764, 733, 200?
GCD of 436, 764, 733, 200 is 1
2. Where do I get the detailed procedure to find GCD of 436, 764, 733, 200?
You can find a detailed procedure to find GCD of 436, 764, 733, 200 on our page.
3. How to find GCD of 436, 764, 733, 200 on a calculator?
You can find the GCD of 436, 764, 733, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.