GCD of 679, 735, 884, 592 Calculator

Given Input numbers are 679, 735, 884, 592

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

Greatest Common Divisior

We found the divisors of 679, 735, 884, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 735, 884, 592 is 1.

Therefore, GCD of numbers 679, 735, 884, 592 is 1

Given Input Data is 679, 735, 884, 592

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 884 is 2 x 2 x 13 x 17

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

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(679, 735) = 71295

GCD(679, 735) = ( 679 x 735 ) / 71295

GCD(679, 735) = 499065 / 71295

GCD(679, 735) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 884

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

LCM(7, 884) = 6188

GCD(7, 884) = ( 7 x 884 ) / 6188

GCD(7, 884) = 6188 / 6188

GCD(7, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 679, 735, 884, 592 is 1

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1. What is the GCD of 679, 735, 884, 592?

GCD of 679, 735, 884, 592 is 1

2. Where do I get the detailed procedure to find GCD of 679, 735, 884, 592?

You can find a detailed procedure to find GCD of 679, 735, 884, 592 on our page.

3. How to find GCD of 679, 735, 884, 592 on a calculator?

You can find the GCD of 679, 735, 884, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.