GCD of 217, 894, 400, 537 Calculator

Given Input numbers are 217, 894, 400, 537

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 217, 894, 400, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 894, 400, 537 is 1.

Therefore, GCD of numbers 217, 894, 400, 537 is 1

Given Input Data is 217, 894, 400, 537

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 537 is 3 x 179

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(217, 894) = 193998

GCD(217, 894) = ( 217 x 894 ) / 193998

GCD(217, 894) = 193998 / 193998

GCD(217, 894) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 217, 894, 400, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 717, 387, 806
• GCD of 690, 601, 275, 411
• GCD of 802, 485, 978, 854
• GCD of 630, 970, 765, 121
• GCD of 631, 567, 448, 822

1. What is the GCD of 217, 894, 400, 537?

GCD of 217, 894, 400, 537 is 1

2. Where do I get the detailed procedure to find GCD of 217, 894, 400, 537?

You can find a detailed procedure to find GCD of 217, 894, 400, 537 on our page.

3. How to find GCD of 217, 894, 400, 537 on a calculator?

You can find the GCD of 217, 894, 400, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.