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 603, 805, 208, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 603, 805, 208, 369 is 1
GCD(603, 805, 208, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 603, 805, 208, 369 is 1
GCD(603, 805, 208, 369) = 1
Given Input numbers are 603, 805, 208, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 603, 805, 208, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 603, 805, 208, 369 is 1.
Therefore, GCD of numbers 603, 805, 208, 369 is 1
Given Input Data is 603, 805, 208, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 369 is 3 x 3 x 41
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(603, 805) = 485415
GCD(603, 805) = ( 603 x 805 ) / 485415
GCD(603, 805) = 485415 / 485415
GCD(603, 805) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 603, 805, 208, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 603, 805, 208, 369?
GCD of 603, 805, 208, 369 is 1
2. Where do I get the detailed procedure to find GCD of 603, 805, 208, 369?
You can find a detailed procedure to find GCD of 603, 805, 208, 369 on our page.
3. How to find GCD of 603, 805, 208, 369 on a calculator?
You can find the GCD of 603, 805, 208, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.