GCD of 788, 592, 86, 869 Calculator

Given Input numbers are 788, 592, 86, 869

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 788, 592, 86, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 592, 86, 869 is 1.

Therefore, GCD of numbers 788, 592, 86, 869 is 1

Given Input Data is 788, 592, 86, 869

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 86 is 2 x 43

Prime Factorization of 869 is 11 x 79

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(788, 592) = 116624

GCD(788, 592) = ( 788 x 592 ) / 116624

GCD(788, 592) = 466496 / 116624

GCD(788, 592) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 788, 592, 86, 869 is 1

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1. What is the GCD of 788, 592, 86, 869?

GCD of 788, 592, 86, 869 is 1

2. Where do I get the detailed procedure to find GCD of 788, 592, 86, 869?

You can find a detailed procedure to find GCD of 788, 592, 86, 869 on our page.

3. How to find GCD of 788, 592, 86, 869 on a calculator?

You can find the GCD of 788, 592, 86, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.