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, 274, 18, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 603, 274, 18, 565 is 1
GCD(603, 274, 18, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 603, 274, 18, 565 is 1
GCD(603, 274, 18, 565) = 1
Given Input numbers are 603, 274, 18, 565
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 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 603, 274, 18, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 603, 274, 18, 565 is 1.
Therefore, GCD of numbers 603, 274, 18, 565 is 1
Given Input Data is 603, 274, 18, 565
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 274 is 2 x 137
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 565 is 5 x 113
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, 274) = 165222
GCD(603, 274) = ( 603 x 274 ) / 165222
GCD(603, 274) = 165222 / 165222
GCD(603, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 603, 274, 18, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 603, 274, 18, 565?
GCD of 603, 274, 18, 565 is 1
2. Where do I get the detailed procedure to find GCD of 603, 274, 18, 565?
You can find a detailed procedure to find GCD of 603, 274, 18, 565 on our page.
3. How to find GCD of 603, 274, 18, 565 on a calculator?
You can find the GCD of 603, 274, 18, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.