GCD of 21, 700, 393, 580 Calculator

Given Input numbers are 21, 700, 393, 580

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 21, 700, 393, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 700, 393, 580 is 1.

Therefore, GCD of numbers 21, 700, 393, 580 is 1

Given Input Data is 21, 700, 393, 580

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 393 is 3 x 131

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(21, 700) = 2100

GCD(21, 700) = ( 21 x 700 ) / 2100

GCD(21, 700) = 14700 / 2100

GCD(21, 700) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 393

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

LCM(7, 393) = 2751

GCD(7, 393) = ( 7 x 393 ) / 2751

GCD(7, 393) = 2751 / 2751

GCD(7, 393) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 21, 700, 393, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 407, 534, 327
• GCD of 11, 158, 689, 723
• GCD of 89, 811, 813, 870
• GCD of 57, 359, 780, 297
• GCD of 48, 906, 837, 725

1. What is the GCD of 21, 700, 393, 580?

GCD of 21, 700, 393, 580 is 1

2. Where do I get the detailed procedure to find GCD of 21, 700, 393, 580?

You can find a detailed procedure to find GCD of 21, 700, 393, 580 on our page.

3. How to find GCD of 21, 700, 393, 580 on a calculator?

You can find the GCD of 21, 700, 393, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.