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 657, 706, 204, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 706, 204, 584 is 1
GCD(657, 706, 204, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 706, 204, 584 is 1
GCD(657, 706, 204, 584) = 1
Given Input numbers are 657, 706, 204, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 657, 706, 204, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 706, 204, 584 is 1.
Therefore, GCD of numbers 657, 706, 204, 584 is 1
Given Input Data is 657, 706, 204, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 706 is 2 x 353
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(657, 706) = 463842
GCD(657, 706) = ( 657 x 706 ) / 463842
GCD(657, 706) = 463842 / 463842
GCD(657, 706) = 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 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 657, 706, 204, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 706, 204, 584?
GCD of 657, 706, 204, 584 is 1
2. Where do I get the detailed procedure to find GCD of 657, 706, 204, 584?
You can find a detailed procedure to find GCD of 657, 706, 204, 584 on our page.
3. How to find GCD of 657, 706, 204, 584 on a calculator?
You can find the GCD of 657, 706, 204, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.