GCD of 867, 490, 853, 406 Calculator

Given Input numbers are 867, 490, 853, 406

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 406

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

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

Greatest Common Divisior

We found the divisors of 867, 490, 853, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 490, 853, 406 is 1.

Therefore, GCD of numbers 867, 490, 853, 406 is 1

Given Input Data is 867, 490, 853, 406

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 853 is 853

Prime Factorization of 406 is 2 x 7 x 29

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(867, 490) = 424830

GCD(867, 490) = ( 867 x 490 ) / 424830

GCD(867, 490) = 424830 / 424830

GCD(867, 490) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

Step3:

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

GCD of 867, 490, 853, 406 is 1

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1. What is the GCD of 867, 490, 853, 406?

GCD of 867, 490, 853, 406 is 1

2. Where do I get the detailed procedure to find GCD of 867, 490, 853, 406?

You can find a detailed procedure to find GCD of 867, 490, 853, 406 on our page.

3. How to find GCD of 867, 490, 853, 406 on a calculator?

You can find the GCD of 867, 490, 853, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.