GCD of 21, 164, 736, 682 Calculator

Given Input numbers are 21, 164, 736, 682

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 21, 164, 736, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 164, 736, 682 is 1.

Therefore, GCD of numbers 21, 164, 736, 682 is 1

Given Input Data is 21, 164, 736, 682

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 682 is 2 x 11 x 31

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, 164) = 3444

GCD(21, 164) = ( 21 x 164 ) / 3444

GCD(21, 164) = 3444 / 3444

GCD(21, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 21, 164, 736, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 171, 616, 903
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• GCD of 45, 654, 475, 354
• GCD of 87, 869, 371, 323

1. What is the GCD of 21, 164, 736, 682?

GCD of 21, 164, 736, 682 is 1

2. Where do I get the detailed procedure to find GCD of 21, 164, 736, 682?

You can find a detailed procedure to find GCD of 21, 164, 736, 682 on our page.

3. How to find GCD of 21, 164, 736, 682 on a calculator?

You can find the GCD of 21, 164, 736, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.