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 692, 605, 204, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 605, 204, 253 is 1
GCD(692, 605, 204, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 605, 204, 253 is 1
GCD(692, 605, 204, 253) = 1
Given Input numbers are 692, 605, 204, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 692, 605, 204, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 605, 204, 253 is 1.
Therefore, GCD of numbers 692, 605, 204, 253 is 1
Given Input Data is 692, 605, 204, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 253 is 11 x 23
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(692, 605) = 418660
GCD(692, 605) = ( 692 x 605 ) / 418660
GCD(692, 605) = 418660 / 418660
GCD(692, 605) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 692, 605, 204, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 605, 204, 253?
GCD of 692, 605, 204, 253 is 1
2. Where do I get the detailed procedure to find GCD of 692, 605, 204, 253?
You can find a detailed procedure to find GCD of 692, 605, 204, 253 on our page.
3. How to find GCD of 692, 605, 204, 253 on a calculator?
You can find the GCD of 692, 605, 204, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.