GCD of 892, 657, 104, 623 Calculator

Given Input numbers are 892, 657, 104, 623

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 892, 657, 104, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 657, 104, 623 is 1.

Therefore, GCD of numbers 892, 657, 104, 623 is 1

Given Input Data is 892, 657, 104, 623

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 623 is 7 x 89

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(892, 657) = 586044

GCD(892, 657) = ( 892 x 657 ) / 586044

GCD(892, 657) = 586044 / 586044

GCD(892, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 892, 657, 104, 623 is 1

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1. What is the GCD of 892, 657, 104, 623?

GCD of 892, 657, 104, 623 is 1

2. Where do I get the detailed procedure to find GCD of 892, 657, 104, 623?

You can find a detailed procedure to find GCD of 892, 657, 104, 623 on our page.

3. How to find GCD of 892, 657, 104, 623 on a calculator?

You can find the GCD of 892, 657, 104, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.