GCD of 692, 574, 36, 297 Calculator

Given Input numbers are 692, 574, 36, 297

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 692, 574, 36, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 574, 36, 297 is 1.

Therefore, GCD of numbers 692, 574, 36, 297 is 1

Given Input Data is 692, 574, 36, 297

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 574 is 2 x 7 x 41

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(692, 574) = 198604

GCD(692, 574) = ( 692 x 574 ) / 198604

GCD(692, 574) = 397208 / 198604

GCD(692, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 692, 574, 36, 297 is 1

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1. What is the GCD of 692, 574, 36, 297?

GCD of 692, 574, 36, 297 is 1

2. Where do I get the detailed procedure to find GCD of 692, 574, 36, 297?

You can find a detailed procedure to find GCD of 692, 574, 36, 297 on our page.

3. How to find GCD of 692, 574, 36, 297 on a calculator?

You can find the GCD of 692, 574, 36, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.