GCD of 56, 689, 828, 329 Calculator

Given Input numbers are 56, 689, 828, 329

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 56, 689, 828, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 689, 828, 329 is 1.

Therefore, GCD of numbers 56, 689, 828, 329 is 1

Given Input Data is 56, 689, 828, 329

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 689 is 13 x 53

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 329 is 7 x 47

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(56, 689) = 38584

GCD(56, 689) = ( 56 x 689 ) / 38584

GCD(56, 689) = 38584 / 38584

GCD(56, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 56, 689, 828, 329 is 1

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1. What is the GCD of 56, 689, 828, 329?

GCD of 56, 689, 828, 329 is 1

2. Where do I get the detailed procedure to find GCD of 56, 689, 828, 329?

You can find a detailed procedure to find GCD of 56, 689, 828, 329 on our page.

3. How to find GCD of 56, 689, 828, 329 on a calculator?

You can find the GCD of 56, 689, 828, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.