GCD of 894, 542, 813, 692 Calculator

Given Input numbers are 894, 542, 813, 692

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 894, 542, 813, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 542, 813, 692 is 1.

Therefore, GCD of numbers 894, 542, 813, 692 is 1

Given Input Data is 894, 542, 813, 692

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 542 is 2 x 271

Prime Factorization of 813 is 3 x 271

Prime Factorization of 692 is 2 x 2 x 173

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(894, 542) = 242274

GCD(894, 542) = ( 894 x 542 ) / 242274

GCD(894, 542) = 484548 / 242274

GCD(894, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 813

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

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

GCD(2, 813) = 1626 / 1626

GCD(2, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 894, 542, 813, 692 is 1

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1. What is the GCD of 894, 542, 813, 692?

GCD of 894, 542, 813, 692 is 1

2. Where do I get the detailed procedure to find GCD of 894, 542, 813, 692?

You can find a detailed procedure to find GCD of 894, 542, 813, 692 on our page.

3. How to find GCD of 894, 542, 813, 692 on a calculator?

You can find the GCD of 894, 542, 813, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.