GCD of 570, 690, 993, 400 Calculator

Given Input numbers are 570, 690, 993, 400

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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

Greatest Common Divisior

We found the divisors of 570, 690, 993, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 690, 993, 400 is 1.

Therefore, GCD of numbers 570, 690, 993, 400 is 1

Given Input Data is 570, 690, 993, 400

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 993 is 3 x 331

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

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(570, 690) = 13110

GCD(570, 690) = ( 570 x 690 ) / 13110

GCD(570, 690) = 393300 / 13110

GCD(570, 690) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 993

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

LCM(30, 993) = 9930

GCD(30, 993) = ( 30 x 993 ) / 9930

GCD(30, 993) = 29790 / 9930

GCD(30, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

GCD of 570, 690, 993, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 735, 499, 135
• GCD of 660, 383, 685, 951
• GCD of 308, 598, 514, 395
• GCD of 302, 919, 663, 628
• GCD of 819, 699, 594, 533

1. What is the GCD of 570, 690, 993, 400?

GCD of 570, 690, 993, 400 is 1

2. Where do I get the detailed procedure to find GCD of 570, 690, 993, 400?

You can find a detailed procedure to find GCD of 570, 690, 993, 400 on our page.

3. How to find GCD of 570, 690, 993, 400 on a calculator?

You can find the GCD of 570, 690, 993, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.