GCD of 690, 465, 369, 683 Calculator

Given Input numbers are 690, 465, 369, 683

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 690, 465, 369, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 465, 369, 683 is 1.

Therefore, GCD of numbers 690, 465, 369, 683 is 1

Given Input Data is 690, 465, 369, 683

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 683 is 683

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(690, 465) = 21390

GCD(690, 465) = ( 690 x 465 ) / 21390

GCD(690, 465) = 320850 / 21390

GCD(690, 465) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 369

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(15, 369) = 1845

GCD(15, 369) = ( 15 x 369 ) / 1845

GCD(15, 369) = 5535 / 1845

GCD(15, 369) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 683

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 683) = 2049

GCD(3, 683) = ( 3 x 683 ) / 2049

GCD(3, 683) = 2049 / 2049

GCD(3, 683) = 1

GCD of 690, 465, 369, 683 is 1

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• GCD of 961, 849, 700, 716
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1. What is the GCD of 690, 465, 369, 683?

GCD of 690, 465, 369, 683 is 1

2. Where do I get the detailed procedure to find GCD of 690, 465, 369, 683?

You can find a detailed procedure to find GCD of 690, 465, 369, 683 on our page.

3. How to find GCD of 690, 465, 369, 683 on a calculator?

You can find the GCD of 690, 465, 369, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.