GCD of 692, 658, 204, 856 Calculator

Given Input numbers are 692, 658, 204, 856

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 692, 658, 204, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 658, 204, 856 is 2.

Therefore, GCD of numbers 692, 658, 204, 856 is 2

Given Input Data is 692, 658, 204, 856

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(692, 658) = 227668

GCD(692, 658) = ( 692 x 658 ) / 227668

GCD(692, 658) = 455336 / 227668

GCD(692, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 692, 658, 204, 856 is 2

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1. What is the GCD of 692, 658, 204, 856?

GCD of 692, 658, 204, 856 is 2

2. Where do I get the detailed procedure to find GCD of 692, 658, 204, 856?

You can find a detailed procedure to find GCD of 692, 658, 204, 856 on our page.

3. How to find GCD of 692, 658, 204, 856 on a calculator?

You can find the GCD of 692, 658, 204, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.