GCD of 469, 256, 829, 359 Calculator

Given Input numbers are 469, 256, 829, 359

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 469, 256, 829, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 256, 829, 359 is 1.

Therefore, GCD of numbers 469, 256, 829, 359 is 1

Given Input Data is 469, 256, 829, 359

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 829 is 829

Prime Factorization of 359 is 359

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, 256) = 120064

GCD(469, 256) = ( 469 x 256 ) / 120064

GCD(469, 256) = 120064 / 120064

GCD(469, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 469, 256, 829, 359 is 1

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• GCD of 971, 451, 761, 852
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1. What is the GCD of 469, 256, 829, 359?

GCD of 469, 256, 829, 359 is 1

2. Where do I get the detailed procedure to find GCD of 469, 256, 829, 359?

You can find a detailed procedure to find GCD of 469, 256, 829, 359 on our page.

3. How to find GCD of 469, 256, 829, 359 on a calculator?

You can find the GCD of 469, 256, 829, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.