GCD of 694, 592, 484, 764 Calculator

Given Input numbers are 694, 592, 484, 764

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 694, 592, 484, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 592, 484, 764 is 2.

Therefore, GCD of numbers 694, 592, 484, 764 is 2

Given Input Data is 694, 592, 484, 764

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

Prime Factorization of 694 is 2 x 347

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 764 is 2 x 2 x 191

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(694, 592) = 205424

GCD(694, 592) = ( 694 x 592 ) / 205424

GCD(694, 592) = 410848 / 205424

GCD(694, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 694, 592, 484, 764 is 2

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1. What is the GCD of 694, 592, 484, 764?

GCD of 694, 592, 484, 764 is 2

2. Where do I get the detailed procedure to find GCD of 694, 592, 484, 764?

You can find a detailed procedure to find GCD of 694, 592, 484, 764 on our page.

3. How to find GCD of 694, 592, 484, 764 on a calculator?

You can find the GCD of 694, 592, 484, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.