GCD of 685, 507, 406, 821 Calculator

Given Input numbers are 685, 507, 406, 821

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 685, 507, 406, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 507, 406, 821 is 1.

Therefore, GCD of numbers 685, 507, 406, 821 is 1

Given Input Data is 685, 507, 406, 821

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 821 is 821

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(685, 507) = 347295

GCD(685, 507) = ( 685 x 507 ) / 347295

GCD(685, 507) = 347295 / 347295

GCD(685, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 685, 507, 406, 821 is 1

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1. What is the GCD of 685, 507, 406, 821?

GCD of 685, 507, 406, 821 is 1

2. Where do I get the detailed procedure to find GCD of 685, 507, 406, 821?

You can find a detailed procedure to find GCD of 685, 507, 406, 821 on our page.

3. How to find GCD of 685, 507, 406, 821 on a calculator?

You can find the GCD of 685, 507, 406, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.