GCD of 469, 357, 411, 789 Calculator

Given Input numbers are 469, 357, 411, 789

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 469, 357, 411, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 357, 411, 789 is 1.

Therefore, GCD of numbers 469, 357, 411, 789 is 1

Given Input Data is 469, 357, 411, 789

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 411 is 3 x 137

Prime Factorization of 789 is 3 x 263

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(469, 357) = 23919

GCD(469, 357) = ( 469 x 357 ) / 23919

GCD(469, 357) = 167433 / 23919

GCD(469, 357) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 411

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

LCM(7, 411) = 2877

GCD(7, 411) = ( 7 x 411 ) / 2877

GCD(7, 411) = 2877 / 2877

GCD(7, 411) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 469, 357, 411, 789 is 1

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1. What is the GCD of 469, 357, 411, 789?

GCD of 469, 357, 411, 789 is 1

2. Where do I get the detailed procedure to find GCD of 469, 357, 411, 789?

You can find a detailed procedure to find GCD of 469, 357, 411, 789 on our page.

3. How to find GCD of 469, 357, 411, 789 on a calculator?

You can find the GCD of 469, 357, 411, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.