GCD of 20, 698, 723, 406 Calculator

Given Input numbers are 20, 698, 723, 406

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 20, 698, 723, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 698, 723, 406 is 1.

Therefore, GCD of numbers 20, 698, 723, 406 is 1

Given Input Data is 20, 698, 723, 406

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 698 is 2 x 349

Prime Factorization of 723 is 3 x 241

Prime Factorization of 406 is 2 x 7 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(20, 698) = 6980

GCD(20, 698) = ( 20 x 698 ) / 6980

GCD(20, 698) = 13960 / 6980

GCD(20, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 20, 698, 723, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 273, 257, 802
• GCD of 38, 163, 751, 895
• GCD of 32, 406, 151, 319
• GCD of 58, 497, 681, 866
• GCD of 58, 312, 577, 359

1. What is the GCD of 20, 698, 723, 406?

GCD of 20, 698, 723, 406 is 1

2. Where do I get the detailed procedure to find GCD of 20, 698, 723, 406?

You can find a detailed procedure to find GCD of 20, 698, 723, 406 on our page.

3. How to find GCD of 20, 698, 723, 406 on a calculator?

You can find the GCD of 20, 698, 723, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.