GCD of 56, 864, 889, 628 Calculator

Given Input numbers are 56, 864, 889, 628

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 56, 864, 889, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 864, 889, 628 is 1.

Therefore, GCD of numbers 56, 864, 889, 628 is 1

Given Input Data is 56, 864, 889, 628

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 889 is 7 x 127

Prime Factorization of 628 is 2 x 2 x 157

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, 864) = 6048

GCD(56, 864) = ( 56 x 864 ) / 6048

GCD(56, 864) = 48384 / 6048

GCD(56, 864) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 889

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

LCM(8, 889) = 7112

GCD(8, 889) = ( 8 x 889 ) / 7112

GCD(8, 889) = 7112 / 7112

GCD(8, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 56, 864, 889, 628 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 56, 864, 889, 628?

GCD of 56, 864, 889, 628 is 1

2. Where do I get the detailed procedure to find GCD of 56, 864, 889, 628?

You can find a detailed procedure to find GCD of 56, 864, 889, 628 on our page.

3. How to find GCD of 56, 864, 889, 628 on a calculator?

You can find the GCD of 56, 864, 889, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.