GCD of 921, 538, 892 Calculator

Given Input numbers are 921, 538, 892

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 921, 538, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 538, 892 is 1.

Therefore, GCD of numbers 921, 538, 892 is 1

Given Input Data is 921, 538, 892

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 538 is 2 x 269

Prime Factorization of 892 is 2 x 2 x 223

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(921, 538) = 495498

GCD(921, 538) = ( 921 x 538 ) / 495498

GCD(921, 538) = 495498 / 495498

GCD(921, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 921, 538, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 920, 497
• GCD of 929, 272, 222
• GCD of 694, 687, 725
• GCD of 358, 145, 323
• GCD of 694, 464, 504

1. What is the GCD of 921, 538, 892?

GCD of 921, 538, 892 is 1

2. Where do I get the detailed procedure to find GCD of 921, 538, 892?

You can find a detailed procedure to find GCD of 921, 538, 892 on our page.

3. How to find GCD of 921, 538, 892 on a calculator?

You can find the GCD of 921, 538, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.