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 200, 271, 403, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 271, 403, 537 is 1
GCD(200, 271, 403, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 271, 403, 537 is 1
GCD(200, 271, 403, 537) = 1
Given Input numbers are 200, 271, 403, 537
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 200, 271, 403, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 271, 403, 537 is 1.
Therefore, GCD of numbers 200, 271, 403, 537 is 1
Given Input Data is 200, 271, 403, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 271 is 271
Prime Factorization of 403 is 13 x 31
Prime Factorization of 537 is 3 x 179
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(200, 271) = 54200
GCD(200, 271) = ( 200 x 271 ) / 54200
GCD(200, 271) = 54200 / 54200
GCD(200, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 200, 271, 403, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 271, 403, 537?
GCD of 200, 271, 403, 537 is 1
2. Where do I get the detailed procedure to find GCD of 200, 271, 403, 537?
You can find a detailed procedure to find GCD of 200, 271, 403, 537 on our page.
3. How to find GCD of 200, 271, 403, 537 on a calculator?
You can find the GCD of 200, 271, 403, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.