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 202, 230, 52, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 230, 52, 649 is 1
GCD(202, 230, 52, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 230, 52, 649 is 1
GCD(202, 230, 52, 649) = 1
Given Input numbers are 202, 230, 52, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 202, 230, 52, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 230, 52, 649 is 1.
Therefore, GCD of numbers 202, 230, 52, 649 is 1
Given Input Data is 202, 230, 52, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 649 is 11 x 59
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(202, 230) = 23230
GCD(202, 230) = ( 202 x 230 ) / 23230
GCD(202, 230) = 46460 / 23230
GCD(202, 230) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 649) = 1298
GCD(2, 649) = ( 2 x 649 ) / 1298
GCD(2, 649) = 1298 / 1298
GCD(2, 649) = 1
GCD of 202, 230, 52, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 230, 52, 649?
GCD of 202, 230, 52, 649 is 1
2. Where do I get the detailed procedure to find GCD of 202, 230, 52, 649?
You can find a detailed procedure to find GCD of 202, 230, 52, 649 on our page.
3. How to find GCD of 202, 230, 52, 649 on a calculator?
You can find the GCD of 202, 230, 52, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.