GCD of 690, 819, 975, 803 Calculator

Given Input numbers are 690, 819, 975, 803

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 690, 819, 975, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 819, 975, 803 is 1.

Therefore, GCD of numbers 690, 819, 975, 803 is 1

Given Input Data is 690, 819, 975, 803

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 819 is 3 x 3 x 7 x 13

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 803 is 11 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(690, 819) = 188370

GCD(690, 819) = ( 690 x 819 ) / 188370

GCD(690, 819) = 565110 / 188370

GCD(690, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 803

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

LCM(3, 803) = 2409

GCD(3, 803) = ( 3 x 803 ) / 2409

GCD(3, 803) = 2409 / 2409

GCD(3, 803) = 1

GCD of 690, 819, 975, 803 is 1

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1. What is the GCD of 690, 819, 975, 803?

GCD of 690, 819, 975, 803 is 1

2. Where do I get the detailed procedure to find GCD of 690, 819, 975, 803?

You can find a detailed procedure to find GCD of 690, 819, 975, 803 on our page.

3. How to find GCD of 690, 819, 975, 803 on a calculator?

You can find the GCD of 690, 819, 975, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.