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, 535, 41, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 535, 41, 509 is 1
GCD(200, 535, 41, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 535, 41, 509 is 1
GCD(200, 535, 41, 509) = 1
Given Input numbers are 200, 535, 41, 509
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 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 200, 535, 41, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 535, 41, 509 is 1.
Therefore, GCD of numbers 200, 535, 41, 509 is 1
Given Input Data is 200, 535, 41, 509
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 535 is 5 x 107
Prime Factorization of 41 is 41
Prime Factorization of 509 is 509
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, 535) = 21400
GCD(200, 535) = ( 200 x 535 ) / 21400
GCD(200, 535) = 107000 / 21400
GCD(200, 535) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 41) = 205
GCD(5, 41) = ( 5 x 41 ) / 205
GCD(5, 41) = 205 / 205
GCD(5, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 200, 535, 41, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 535, 41, 509?
GCD of 200, 535, 41, 509 is 1
2. Where do I get the detailed procedure to find GCD of 200, 535, 41, 509?
You can find a detailed procedure to find GCD of 200, 535, 41, 509 on our page.
3. How to find GCD of 200, 535, 41, 509 on a calculator?
You can find the GCD of 200, 535, 41, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.